Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768s |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-2026150821888 = -1 · 230 · 3 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1151,66433] |
[a1,a2,a3,a4,a6] |
Generators |
[439890:9246587:1000] |
Generators of the group modulo torsion |
j |
642735647/7729152 |
j-invariant |
L |
6.5733684609877 |
L(r)(E,1)/r! |
Ω |
0.61134709802615 |
Real period |
R |
10.752269169864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998582084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120768dv1 3774r1 |
Quadratic twists by: -4 8 |