Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15624b |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-3000371963904 = -1 · 211 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -1 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6291,209358] |
[a1,a2,a3,a4,a6] |
j |
-683064198/74431 |
j-invariant |
L |
3.120661558946 |
L(r)(E,1)/r! |
Ω |
0.78016538973649 |
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 |
31248e1 124992l1 15624q1 109368e1 |
Quadratic twists by: -4 8 -3 -7 |