Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518f |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
-38575857528 = -1 · 23 · 33 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,334,-9124] |
[a1,a2,a3,a4,a6] |
j |
857375/7992 |
j-invariant |
L |
1.7081956550751 |
L(r)(E,1)/r! |
Ω |
0.56939855170043 |
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 |
112554p1 222a1 |
Quadratic twists by: -3 13 |