Atkin-Lehner |
2- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30682i |
Isogeny class |
Conductor |
30682 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302496 |
Modular degree for the optimal curve |
Δ |
-69679391861357618 = -1 · 2 · 2310 · 292 |
Discriminant |
Eigenvalues |
2- 1 -4 -2 0 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5830,-12701834] |
[a1,a2,a3,a4,a6] |
j |
-529/1682 |
j-invariant |
L |
0.31450805212862 |
L(r)(E,1)/r! |
Ω |
0.1572540260657 |
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 |
30682h1 |
Quadratic twists by: -23 |