Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
41552p |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-751,-7428] |
[a1,a2,a3,a4,a6] |
Generators |
[147660:718928:3375] |
Generators of the group modulo torsion |
j |
24918016/2597 |
j-invariant |
L |
6.0449634846792 |
L(r)(E,1)/r! |
Ω |
0.91802922130095 |
Real period |
R |
6.5847179418882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20776g1 5936b1 |
Quadratic twists by: -4 -7 |