Atkin-Lehner |
2+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31240b |
Isogeny class |
Conductor |
31240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1524902500000000 = 28 · 510 · 112 · 712 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3254167,-2259475926] |
[a1,a2,a3,a4,a6] |
j |
14886865230957968600016/5956650390625 |
j-invariant |
L |
2.2481205815614 |
L(r)(E,1)/r! |
Ω |
0.11240602907838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62480d2 |
Quadratic twists by: -4 |