Atkin-Lehner |
2- 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746be |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
16483038840373248 = 214 · 33 · 115 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15308332,-23060039731] |
[a1,a2,a3,a4,a6] |
j |
396741226145042189263349953/16483038840373248 |
j-invariant |
L |
5.342759528435 |
L(r)(E,1)/r! |
Ω |
0.076325136120519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238w1 |
Quadratic twists by: -3 |