Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6496a |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-376768 = -1 · 26 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[13:44:1] |
Generators of the group modulo torsion |
j |
-8489664/5887 |
j-invariant |
L |
2.7371350314801 |
L(r)(E,1)/r! |
Ω |
1.1405672213595 |
Real period |
R |
2.39980159014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6496e1 12992z1 58464ba1 45472b1 |
Quadratic twists by: -4 8 -3 -7 |