Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ef |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-390533630522112 = -1 · 28 · 37 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41160,-3351796] |
[a1,a2,a3,a4,a6] |
Generators |
[490:-9702:1] |
Generators of the group modulo torsion |
j |
-7168000/363 |
j-invariant |
L |
6.6180732023628 |
L(r)(E,1)/r! |
Ω |
0.16709808955588 |
Real period |
R |
0.82512328786129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404k1 25872bd1 77616ev1 |
Quadratic twists by: -4 -3 -7 |