Atkin-Lehner |
2+ 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358c |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-70295983394 = -1 · 2 · 79 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -4 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221,12727] |
[a1,a2,a3,a4,a6] |
j |
-29791/1742 |
j-invariant |
L |
1.8125949056545 |
L(r)(E,1)/r! |
Ω |
0.90629740798612 |
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 |
85358h1 |
Quadratic twists by: -7 |