Atkin-Lehner |
2- 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
61812b |
Isogeny class |
Conductor |
61812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-20455296941746944 = -1 · 28 · 313 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 3 2 1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76656,10680932] |
[a1,a2,a3,a4,a6] |
j |
-266928335945728/109607000931 |
j-invariant |
L |
4.3214030441556 |
L(r)(E,1)/r! |
Ω |
0.3601169206167 |
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 |
20604c1 |
Quadratic twists by: -3 |