Atkin-Lehner |
2- 3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bd |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
84560868 = 22 · 33 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,12649] |
[a1,a2,a3,a4,a6] |
j |
4253890397427/3131884 |
j-invariant |
L |
7.6085243762275 |
L(r)(E,1)/r! |
Ω |
1.9021310951949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426h1 |
Quadratic twists by: -3 |