Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152r |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-1.1249051627145E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- -4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,532560,60341184] |
[a1,a2,a3,a4,a6] |
j |
4078200565293477839/2746350494908416 |
j-invariant |
L |
2.2841650785329 |
L(r)(E,1)/r! |
Ω |
0.14276031740822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894m1 124608cu1 93456z1 |
Quadratic twists by: -4 8 -3 |