Atkin-Lehner |
3- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
61677m |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-923615357049 = -1 · 36 · 76 · 112 · 89 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11+ 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,972,-44987] |
[a1,a2,a3,a4,a6] |
j |
139233463487/1266962081 |
j-invariant |
L |
5.2472365983507 |
L(r)(E,1)/r! |
Ω |
0.43726971649108 |
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 |
6853h1 |
Quadratic twists by: -3 |