Atkin-Lehner |
2- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109648l |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-179799913216 = -1 · 28 · 72 · 115 · 89 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11- -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-925,22791] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:154:1] |
Generators of the group modulo torsion |
j |
-342277513216/702343411 |
j-invariant |
L |
3.8077758071423 |
L(r)(E,1)/r! |
Ω |
0.90143967638753 |
Real period |
R |
0.21120524846886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27412b1 |
Quadratic twists by: -4 |