Atkin-Lehner |
2- 7+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176n |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-10908396670976 = -1 · 212 · 72 · 29 · 374 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -1 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5320,52528] |
[a1,a2,a3,a4,a6] |
Generators |
[714:19166:1] |
Generators of the group modulo torsion |
j |
4064592619079/2663182781 |
j-invariant |
L |
4.8421790085547 |
L(r)(E,1)/r! |
Ω |
0.45037361742917 |
Real period |
R |
1.3439339143951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999579934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7511d1 |
Quadratic twists by: -4 |