Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850j |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-4471875000 = -1 · 23 · 33 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 1 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-492,5416] |
[a1,a2,a3,a4,a6] |
j |
-1250235/424 |
j-invariant |
L |
2.6009587564163 |
L(r)(E,1)/r! |
Ω |
1.3004793782082 |
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 |
23850cb1 23850bz1 |
Quadratic twists by: -3 5 |