Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392q |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-8939890420789248 = -1 · 212 · 35 · 194 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 2 5 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45947,-2499469] |
[a1,a2,a3,a4,a6] |
j |
2618941474304000/2182590434763 |
j-invariant |
L |
4.5498679319258 |
L(r)(E,1)/r! |
Ω |
0.22749339659658 |
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 |
2337a1 112176x1 |
Quadratic twists by: -4 -3 |