Atkin-Lehner |
2- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032z |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-344195072 = -1 · 218 · 13 · 101 |
Discriminant |
Eigenvalues |
2- -3 2 -2 4 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,-752] |
[a1,a2,a3,a4,a6] |
j |
658503/1313 |
j-invariant |
L |
1.7801941160429 |
L(r)(E,1)/r! |
Ω |
0.89009701595358 |
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 |
84032p1 21008g1 |
Quadratic twists by: -4 8 |