Atkin-Lehner |
2+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39050c |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-33558593750000 = -1 · 24 · 512 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,308,-278784] |
[a1,a2,a3,a4,a6] |
j |
206425071/2147750000 |
j-invariant |
L |
1.2108721308307 |
L(r)(E,1)/r! |
Ω |
0.30271803271707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7810b1 |
Quadratic twists by: 5 |