Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bg |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4753824768 = -1 · 210 · 33 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,3332] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-66:1] |
Generators of the group modulo torsion |
j |
18629852/4642407 |
j-invariant |
L |
7.8720591151935 |
L(r)(E,1)/r! |
Ω |
1.0613284739912 |
Real period |
R |
0.61809792450054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592p1 |
Quadratic twists by: -4 |