Atkin-Lehner |
2- 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55476h |
Isogeny class |
Conductor |
55476 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
4107613462272 = 28 · 39 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -5 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16311,795854] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1242:1] [19:702:1] |
Generators of the group modulo torsion |
j |
2571567815248/22010103 |
j-invariant |
L |
9.0572440251143 |
L(r)(E,1)/r! |
Ω |
0.7845151962044 |
Real period |
R |
0.32069501397307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18492a1 |
Quadratic twists by: -3 |