Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4232d |
Isogeny class |
Conductor |
4232 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-160380897855488 = -1 · 211 · 238 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 4 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4056,599788] |
[a1,a2,a3,a4,a6] |
j |
46 |
j-invariant |
L |
1.2914187996342 |
L(r)(E,1)/r! |
Ω |
0.43047293321141 |
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 |
8464f1 33856e1 38088v1 105800x1 |
Quadratic twists by: -4 8 -3 5 |