Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
61104y |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3003383808 = 218 · 32 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-552,-4428] |
[a1,a2,a3,a4,a6] |
Generators |
[4314:54080:27] |
Generators of the group modulo torsion |
j |
4549540393/733248 |
j-invariant |
L |
9.8085458709018 |
L(r)(E,1)/r! |
Ω |
0.99553860935089 |
Real period |
R |
4.9262508650398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638a1 |
Quadratic twists by: -4 |