Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6496c |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
832 |
Modular degree for the optimal curve |
Δ |
90944 = 26 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -6 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] [0:10:1] |
Generators of the group modulo torsion |
j |
119095488/1421 |
j-invariant |
L |
4.5604491082062 |
L(r)(E,1)/r! |
Ω |
3.4038175564784 |
Real period |
R |
1.3398042146904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6496k1 12992a2 58464x1 45472q1 |
Quadratic twists by: -4 8 -3 -7 |