Atkin-Lehner |
3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19215u |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
5236619532663645 = 311 · 5 · 7 · 615 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-107922,13194625] |
[a1,a2,a3,a4,a6] |
j |
190689218520776704/7183291540005 |
j-invariant |
L |
1.707311590085 |
L(r)(E,1)/r! |
Ω |
0.42682789752124 |
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 |
6405b1 96075n1 |
Quadratic twists by: -3 5 |