Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360be |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
46429475825250000 = 24 · 315 · 56 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397218,95799517] |
[a1,a2,a3,a4,a6] |
Generators |
[194:5103:1] |
Generators of the group modulo torsion |
j |
594241478138730496/3980579203125 |
j-invariant |
L |
5.9283124951511 |
L(r)(E,1)/r! |
Ω |
0.36057762268279 |
Real period |
R |
2.0551443462832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120q1 |
Quadratic twists by: -3 |