Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050ca |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-424100727070312500 = -1 · 22 · 34 · 510 · 135 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-101888,33731892] |
[a1,a2,a3,a4,a6] |
j |
-11978241015625/43427914452 |
j-invariant |
L |
4.175247093127 |
L(r)(E,1)/r! |
Ω |
0.26095294332104 |
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 |
111150be1 37050t1 |
Quadratic twists by: -3 5 |