Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ib |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-90965016576000000 = -1 · 226 · 36 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1151841,-476419041] |
[a1,a2,a3,a4,a6] |
Generators |
[5876241:767609856:343] |
Generators of the group modulo torsion |
j |
-644706081631626841/347004000000 |
j-invariant |
L |
7.6467007783761 |
L(r)(E,1)/r! |
Ω |
0.072863054581504 |
Real period |
R |
8.7455167227756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240t1 28560cp1 |
Quadratic twists by: -4 8 |