Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30159360 |
Modular degree for the optimal curve |
Δ |
-2.214587266627E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132107961,-588767560335] |
[a1,a2,a3,a4,a6] |
Generators |
[1613920304511669968791089688821569079595848957888943695955319423196217683366210524887250805544913786078897453289154786628294579395086655889572057880:899118140419711992724429982292163994293806850533318844782852221109855479106663639570092938234266480480354752843631527529519555728972015406970096284077:5192881703611687035368055492127707442372873075941062214691392898800157141414169906011930028179587308250089154196793214182486803617890614927375] |
Generators of the group modulo torsion |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
5.1231251360668 |
L(r)(E,1)/r! |
Ω |
0.022254212368923 |
Real period |
R |
230.20923190348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160dg1 29040dl1 116160fl1 |
Quadratic twists by: -4 8 -11 |