Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280w |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2049966080 = -1 · 220 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -1 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-960,-11980] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/500480 |
j-invariant |
L |
1.7131120208847 |
L(r)(E,1)/r! |
Ω |
0.42827800522194 |
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 |
3910n1 125120bu1 |
Quadratic twists by: -4 8 |