Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312ci |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
1726272 = 26 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 1 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,54] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
2.4441487497969 |
L(r)(E,1)/r! |
Ω |
2.4441487497969 |
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 |
21312x1 5328q1 2368q1 |
Quadratic twists by: -4 8 -3 |