Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736fn |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
31506001035264 = 228 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8076,71440] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:3893:8] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
6.9310853907229 |
L(r)(E,1)/r! |
Ω |
0.57490368419465 |
Real period |
R |
6.0280405127411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736bg1 23184by1 10304bg1 |
Quadratic twists by: -4 8 -3 |