Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25688j |
Isogeny class |
Conductor |
25688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1624303616 = -1 · 211 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 1 2 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,-2144] |
[a1,a2,a3,a4,a6] |
j |
-101306/361 |
j-invariant |
L |
2.4616075863831 |
L(r)(E,1)/r! |
Ω |
0.61540189659574 |
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 |
51376g1 25688c1 |
Quadratic twists by: -4 13 |