Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616h |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-2.4765233743379E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ 5 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2102247,1396308753] |
[a1,a2,a3,a4,a6] |
j |
-80850237696/19487171 |
j-invariant |
L |
2.6757618433246 |
L(r)(E,1)/r! |
Ω |
0.16723511349287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bs1 77616v1 77616j1 |
Quadratic twists by: -4 -3 -7 |