Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850g |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-6829882812500000000 = -1 · 28 · 517 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13784025,-19703694875] |
[a1,a2,a3,a4,a6] |
j |
-153195680944569461209/3612500000000 |
j-invariant |
L |
1.2536457375987 |
L(r)(E,1)/r! |
Ω |
0.039176436276584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20570m1 102850cl1 |
Quadratic twists by: 5 -11 |