Atkin-Lehner |
3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
23157b |
Isogeny class |
Conductor |
23157 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-46771129068039 = -1 · 39 · 315 · 83 |
Discriminant |
Eigenvalues |
-1 3+ -1 -1 4 -5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1163,-329102] |
[a1,a2,a3,a4,a6] |
j |
-8831234763/2376219533 |
j-invariant |
L |
0.56996627785876 |
L(r)(E,1)/r! |
Ω |
0.2849831389294 |
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 |
23157a1 |
Quadratic twists by: -3 |