Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240by |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
103289510696400 = 24 · 39 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18282,816181] |
[a1,a2,a3,a4,a6] |
Generators |
[110:369:1] |
Generators of the group modulo torsion |
j |
57935840917504/8855410725 |
j-invariant |
L |
7.6703937562846 |
L(r)(E,1)/r! |
Ω |
0.57165469848188 |
Real period |
R |
3.3544698268149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080j1 |
Quadratic twists by: -3 |