Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25159680 |
Modular degree for the optimal curve |
Δ |
-1.000204503102E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33378821,-169288443555] |
[a1,a2,a3,a4,a6] |
Generators |
[11505817124947498420511247396994946110692118405386412:920624081154358612773387836456845410659185793567931831:1056185560962198396676938983752469225415295677617] |
Generators of the group modulo torsion |
j |
-251024877317069793166336/610476381287841796875 |
j-invariant |
L |
4.7843077082118 |
L(r)(E,1)/r! |
Ω |
0.029285093585821 |
Real period |
R |
81.68503361943 |
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 |
114240dn1 28560bo1 |
Quadratic twists by: -4 8 |