Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bz |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
19053144000 = 26 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40467,-3133276] |
[a1,a2,a3,a4,a6] |
j |
157079401546816/408375 |
j-invariant |
L |
2.019647705377 |
L(r)(E,1)/r! |
Ω |
0.3366079508961 |
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 |
31680bk1 15840g2 10560c1 |
Quadratic twists by: -4 8 -3 |