Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608bg |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
581656656 = 24 · 3 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217,-490] |
[a1,a2,a3,a4,a6] |
Generators |
[966:5320:27] |
Generators of the group modulo torsion |
j |
70954958848/36353541 |
j-invariant |
L |
8.5620420316492 |
L(r)(E,1)/r! |
Ω |
1.3136884555875 |
Real period |
R |
4.3450393408127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8652a1 103824ck1 |
Quadratic twists by: -4 -3 |