Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fc |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6231772495872 = 217 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-817635,284568802] |
[a1,a2,a3,a4,a6] |
j |
413160293352625/42592 |
j-invariant |
L |
2.3242424843253 |
L(r)(E,1)/r! |
Ω |
0.58106062803532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702v2 8624z2 77616ei2 |
Quadratic twists by: -4 -3 -7 |