Atkin-Lehner |
2- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85652f |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-1611383987867696 = -1 · 24 · 77 · 19 · 235 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 6 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86044,-9904811] |
[a1,a2,a3,a4,a6] |
j |
-37426331860992/856033619 |
j-invariant |
L |
1.3918801969241 |
L(r)(E,1)/r! |
Ω |
0.13918801882548 |
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 |
12236c1 |
Quadratic twists by: -7 |