Atkin-Lehner |
3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
61677b |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-61953009940899 = -1 · 36 · 72 · 117 · 89 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11+ 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-56556,5190689] |
[a1,a2,a3,a4,a6] |
j |
-27443041428307968/84983552731 |
j-invariant |
L |
2.5000824092332 |
L(r)(E,1)/r! |
Ω |
0.6250206015261 |
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 |
6853f1 |
Quadratic twists by: -3 |