Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862bd |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
54602856 = 23 · 33 · 73 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -5 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-635] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
16060229667/2022328 |
j-invariant |
L |
9.5688257269398 |
L(r)(E,1)/r! |
Ω |
1.3584061081491 |
Real period |
R |
1.1740261456923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92862a1 |
Quadratic twists by: -3 |