Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25688f |
Isogeny class |
Conductor |
25688 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-187820791808 = -1 · 211 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 -3 -2 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-29600] |
[a1,a2,a3,a4,a6] |
j |
-31250/19 |
j-invariant |
L |
0.37915567138049 |
L(r)(E,1)/r! |
Ω |
0.37915567138083 |
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 |
51376e1 152b1 |
Quadratic twists by: -4 13 |