Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15960g |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-24521199360 = -1 · 28 · 3 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236,7584] |
[a1,a2,a3,a4,a6] |
j |
-5702413264/95785935 |
j-invariant |
L |
4.0374081363896 |
L(r)(E,1)/r! |
Ω |
1.0093520340974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920a1 127680bn1 47880bp1 79800bb1 |
Quadratic twists by: -4 8 -3 5 |