Atkin-Lehner |
2+ 3+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230g |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
117936000 |
Modular degree for the optimal curve |
Δ |
-5.7087354828775E+31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 0 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5498839612,395951248225936] |
[a1,a2,a3,a4,a6] |
j |
-18388100548207965352175880702784201/57087354828775099594921875000000 |
j-invariant |
L |
0.48777406689699 |
L(r)(E,1)/r! |
Ω |
0.017420502388684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690bo1 |
Quadratic twists by: -3 |