Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87616bv |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
8317551346884928 = 26 · 379 |
Discriminant |
Eigenvalues |
2- 1 2 -3 3 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67537,5114077] |
[a1,a2,a3,a4,a6] |
Generators |
[9776891916:113310710347:32461759] |
Generators of the group modulo torsion |
j |
4096 |
j-invariant |
L |
9.301366638971 |
L(r)(E,1)/r! |
Ω |
0.38851963196242 |
Real period |
R |
11.970265946326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616r1 21904o1 87616bw1 |
Quadratic twists by: -4 8 37 |