Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728h |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-729422848 = -1 · 210 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,9316] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:138:1] [-5:116:1] |
Generators of the group modulo torsion |
j |
-65936114500/712327 |
j-invariant |
L |
6.4382175509124 |
L(r)(E,1)/r! |
Ω |
1.6101366693309 |
Real period |
R |
0.99963836510663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864f1 |
Quadratic twists by: -4 |