Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bj |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-132172499369590784 = -1 · 225 · 135 · 1032 |
Discriminant |
Eigenvalues |
2- -1 3 3 4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224609,-44474879] |
[a1,a2,a3,a4,a6] |
j |
-4780432459339993/504198071936 |
j-invariant |
L |
3.9240433217954 |
L(r)(E,1)/r! |
Ω |
0.10900120233014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696m1 21424n1 |
Quadratic twists by: -4 8 |