Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872x |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-60370944 = -1 · 212 · 3 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91,141] |
[a1,a2,a3,a4,a6] |
j |
4096/3 |
j-invariant |
L |
2.5142112242153 |
L(r)(E,1)/r! |
Ω |
1.2571056121076 |
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 |
867e1 55488dy1 41616co1 13872bm1 |
Quadratic twists by: -4 8 -3 17 |