Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dz |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-191760340464 = -1 · 24 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3381,78547] |
[a1,a2,a3,a4,a6] |
j |
-84098304/3773 |
j-invariant |
L |
3.9930283398996 |
L(r)(E,1)/r! |
Ω |
0.99825709522422 |
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 |
19404c1 77616dm2 11088ba1 |
Quadratic twists by: -4 -3 -7 |