Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ev |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3319481088 = -1 · 28 · 37 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,9772] |
[a1,a2,a3,a4,a6] |
Generators |
[18:22:1] [2:90:1] |
Generators of the group modulo torsion |
j |
-7168000/363 |
j-invariant |
L |
10.690746829197 |
L(r)(E,1)/r! |
Ω |
1.3970106163301 |
Real period |
R |
0.9565735135067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404x1 25872cu1 77616ef1 |
Quadratic twists by: -4 -3 -7 |