Atkin-Lehner |
2+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30256b |
Isogeny class |
Conductor |
30256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4192 |
Modular degree for the optimal curve |
Δ |
-484096 = -1 · 28 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ -2 1 4 1 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,51] |
[a1,a2,a3,a4,a6] |
j |
-7023616/1891 |
j-invariant |
L |
2.8031231113125 |
L(r)(E,1)/r! |
Ω |
2.8031231113096 |
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 |
15128d1 121024p1 |
Quadratic twists by: -4 8 |