Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440v |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.3724918054218E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17116203,-27245743702] |
[a1,a2,a3,a4,a6] |
j |
742879737792994384804/317817082130625 |
j-invariant |
L |
2.3752472651717 |
L(r)(E,1)/r! |
Ω |
0.074226477048797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720c4 18480o3 |
Quadratic twists by: -4 -3 |