Atkin-Lehner |
2- 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358s |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
179424 |
Modular degree for the optimal curve |
Δ |
-492071883758 = -1 · 2 · 710 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 1 -4 7- -2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,33746] |
[a1,a2,a3,a4,a6] |
j |
-49/1742 |
j-invariant |
L |
2.9744076418545 |
L(r)(E,1)/r! |
Ω |
0.74360191273146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358m1 |
Quadratic twists by: -7 |