Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616a |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-358875136 = -1 · 218 · 372 |
Discriminant |
Eigenvalues |
2+ 0 1 2 2 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148,-592] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
999 |
j-invariant |
L |
7.1890548279211 |
L(r)(E,1)/r! |
Ω |
0.92516660396335 |
Real period |
R |
1.9426378983148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616x1 1369c1 87616b1 |
Quadratic twists by: -4 8 37 |