Atkin-Lehner |
2- 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bc |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-287372749218750 = -1 · 2 · 35 · 58 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57688,5371031] |
[a1,a2,a3,a4,a6] |
j |
-1358815850641081/18391855950 |
j-invariant |
L |
2.1986658526375 |
L(r)(E,1)/r! |
Ω |
0.54966640133198 |
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 |
20670q1 |
Quadratic twists by: 5 |