Atkin-Lehner |
2- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7106d |
Isogeny class |
Conductor |
7106 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
9.8295089366754E+18 |
Discriminant |
Eigenvalues |
2- 0 2 -4 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1621789,780912421] |
[a1,a2,a3,a4,a6] |
Generators |
[-1085:36072:1] |
Generators of the group modulo torsion |
j |
471744138156633451637793/9829508936675360768 |
j-invariant |
L |
5.9912476562134 |
L(r)(E,1)/r! |
Ω |
0.22946073695208 |
Real period |
R |
0.43516868693929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56848e1 63954f1 78166a1 120802h1 |
Quadratic twists by: -4 -3 -11 17 |