Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950t |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768384 |
Modular degree for the optimal curve |
Δ |
-12377357549568000 = -1 · 229 · 36 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-470495,124136325] |
[a1,a2,a3,a4,a6] |
j |
-92146783215477650093/99018860396544 |
j-invariant |
L |
1.594916816864 |
L(r)(E,1)/r! |
Ω |
0.39872920422021 |
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 |
113850fr1 37950dk1 |
Quadratic twists by: -3 5 |