Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92708b |
Isogeny class |
Conductor |
92708 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
609840 |
Modular degree for the optimal curve |
Δ |
1577340572513552 = 24 · 76 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 11+ 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74790,-7612219] |
[a1,a2,a3,a4,a6] |
Generators |
[-452431088655357:127764074213621:3356807785317] |
Generators of the group modulo torsion |
j |
24578303113984/837948353 |
j-invariant |
L |
6.9957833890574 |
L(r)(E,1)/r! |
Ω |
0.28929863926407 |
Real period |
R |
24.181874504677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1892a1 |
Quadratic twists by: -7 |