Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280bc |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-6406144000 = -1 · 217 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 2 2 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560,-6208] |
[a1,a2,a3,a4,a6] |
j |
-4750104241/1564000 |
j-invariant |
L |
5.7907674829525 |
L(r)(E,1)/r! |
Ω |
0.48256395691285 |
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 |
3910o1 125120bv1 |
Quadratic twists by: -4 8 |