Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39520g |
Isogeny class |
Conductor |
39520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
2440360000 = 26 · 54 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-373,-1428] |
[a1,a2,a3,a4,a6] |
j |
89674762176/38130625 |
j-invariant |
L |
1.1286535120906 |
L(r)(E,1)/r! |
Ω |
1.1286535121599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39520a1 79040p2 |
Quadratic twists by: -4 8 |