Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050o |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-3399021436818442500 = -1 · 22 · 35 · 54 · 138 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 1 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,87600,88175700] |
[a1,a2,a3,a4,a6] |
j |
118945568634796775/5438434298909508 |
j-invariant |
L |
0.76083967931135 |
L(r)(E,1)/r! |
Ω |
0.19020991982476 |
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 |
111150ew1 37050cd1 |
Quadratic twists by: -3 5 |