Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ef |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
7.1473242658984E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19379387,-32578854101] |
[a1,a2,a3,a4,a6] |
Generators |
[-2573:16946:1] |
Generators of the group modulo torsion |
j |
347587592236166043/3086483456000 |
j-invariant |
L |
11.594073646637 |
L(r)(E,1)/r! |
Ω |
0.07199415591603 |
Real period |
R |
1.2200141829139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890i1 18270bd1 |
Quadratic twists by: -3 -7 |