Atkin-Lehner |
2+ 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434v |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-99796895836506 = -1 · 2 · 312 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11- 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7056,-424814] |
[a1,a2,a3,a4,a6] |
j |
30080231/77274 |
j-invariant |
L |
0.61701793338908 |
L(r)(E,1)/r! |
Ω |
0.30850919994192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478g1 954l1 |
Quadratic twists by: -3 -11 |