Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15904g |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-110660032 = -1 · 26 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67,-460] |
[a1,a2,a3,a4,a6] |
Generators |
[18020:216692:125] |
Generators of the group modulo torsion |
j |
519718464/1729063 |
j-invariant |
L |
5.8310781032036 |
L(r)(E,1)/r! |
Ω |
0.95729181947866 |
Real period |
R |
6.0912231615843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15904c1 31808c1 111328bc1 |
Quadratic twists by: -4 8 -7 |