Atkin-Lehner |
3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
37845g |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-27350972628642675 = -1 · 37 · 52 · 298 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 4 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,73167,2298663] |
[a1,a2,a3,a4,a6] |
Generators |
[5046:433007:216] |
Generators of the group modulo torsion |
j |
118784/75 |
j-invariant |
L |
11.134530528189 |
L(r)(E,1)/r! |
Ω |
0.23279979777621 |
Real period |
R |
3.9857317440954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615g1 37845f1 |
Quadratic twists by: -3 29 |