Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6496i |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-4116669648896 = -1 · 212 · 72 · 295 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -3 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3695,-44129] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3364:1] |
Generators of the group modulo torsion |
j |
1361725440704/1005046301 |
j-invariant |
L |
4.7905452053943 |
L(r)(E,1)/r! |
Ω |
0.43746905168281 |
Real period |
R |
0.27376480615981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6496g1 12992c1 58464h1 45472bh1 |
Quadratic twists by: -4 8 -3 -7 |