Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456t |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
26310868992 = 222 · 32 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 4 4 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1920,-32076] |
[a1,a2,a3,a4,a6] |
Generators |
[59:252:1] |
Generators of the group modulo torsion |
j |
191202526081/6423552 |
j-invariant |
L |
6.4122765890632 |
L(r)(E,1)/r! |
Ω |
0.72268669023348 |
Real period |
R |
4.4364153067432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182f1 100368cf1 |
Quadratic twists by: -4 -3 |