Atkin-Lehner |
2+ 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296g |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3626029824 = -1 · 28 · 3 · 173 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 3 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,-6069] |
[a1,a2,a3,a4,a6] |
j |
-76409304064/14164179 |
j-invariant |
L |
2.9131919201993 |
L(r)(E,1)/r! |
Ω |
0.4855319866999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12648a1 101184x1 75888f1 |
Quadratic twists by: -4 8 -3 |