Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57816c |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1146397521126730752 = 210 · 315 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3805635,2857052558] |
[a1,a2,a3,a4,a6] |
Generators |
[247:43956:1] |
Generators of the group modulo torsion |
j |
8165403017139914500/1535704841187 |
j-invariant |
L |
6.9793583069881 |
L(r)(E,1)/r! |
Ω |
0.26641895157818 |
Real period |
R |
3.2746161006967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632c2 19272c2 |
Quadratic twists by: -4 -3 |