Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696d |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
2688323167232 = 210 · 175 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-473171,125278114] |
[a1,a2,a3,a4,a6] |
Generators |
[201:6188:1] [235:5202:1] |
Generators of the group modulo torsion |
j |
11441372199297754788/2625315593 |
j-invariant |
L |
5.6543322690916 |
L(r)(E,1)/r! |
Ω |
0.64302253210353 |
Real period |
R |
0.87933656859496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5848g1 46784bc1 105264e1 |
Quadratic twists by: -4 8 -3 |