Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ez |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
83117776896000 = 216 · 32 · 53 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1879248,992198592] |
[a1,a2,a3,a4,a6] |
Generators |
[632:7520:1] |
Generators of the group modulo torsion |
j |
1433528304665250149/162339408 |
j-invariant |
L |
5.4633180926693 |
L(r)(E,1)/r! |
Ω |
0.4699882663962 |
Real period |
R |
2.9060928151537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cu1 92400ig1 |
Quadratic twists by: -4 5 |