Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bh |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-588759712576875 = -1 · 38 · 54 · 7 · 295 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -2 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11325,1256206] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:7565:8] [-119:958:1] |
Generators of the group modulo torsion |
j |
-352558182400/1292202387 |
j-invariant |
L |
4.7113043259293 |
L(r)(E,1)/r! |
Ω |
0.45139556246823 |
Real period |
R |
0.52185984064243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225k1 45675ba2 |
Quadratic twists by: -3 5 |