Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cr |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-911245137884928 = -1 · 28 · 36 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44247,-3865610] |
[a1,a2,a3,a4,a6] |
j |
-1272112/121 |
j-invariant |
L |
0.65481268264889 |
L(r)(E,1)/r! |
Ω |
0.16370316874797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bb1 8624d1 77616cq1 |
Quadratic twists by: -4 -3 -7 |