Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bq |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-66522181533696 = -1 · 224 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21171,-1248910] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1260:1] |
Generators of the group modulo torsion |
j |
-351447414193/22278144 |
j-invariant |
L |
5.1587319770222 |
L(r)(E,1)/r! |
Ω |
0.19717187888177 |
Real period |
R |
3.2704536812485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662g1 12432z1 |
Quadratic twists by: -4 -3 |