Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bc |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
6075640136512 = 26 · 377 |
Discriminant |
Eigenvalues |
2- -1 0 -1 1 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4563,-2231] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1369:1] [-1608:6317:27] |
Generators of the group modulo torsion |
j |
64000/37 |
j-invariant |
L |
8.9262971576594 |
L(r)(E,1)/r! |
Ω |
0.63542740775708 |
Real period |
R |
3.511926401344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616ba1 43808l1 2368n1 |
Quadratic twists by: -4 8 37 |