Atkin-Lehner |
5+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96425c |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-2433461634078125 = -1 · 56 · 72 · 194 · 293 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -5 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108301,13912873] |
[a1,a2,a3,a4,a6] |
Generators |
[203:449:1] |
Generators of the group modulo torsion |
j |
-8990737580405953/155741544581 |
j-invariant |
L |
6.4137587561915 |
L(r)(E,1)/r! |
Ω |
0.45927176925367 |
Real period |
R |
0.58187758551371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3857b1 |
Quadratic twists by: 5 |