Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424l |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
21938176 = 214 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 3 0 2 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,308] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:26:1] |
Generators of the group modulo torsion |
j |
30664297/5356 |
j-invariant |
L |
7.6014766161692 |
L(r)(E,1)/r! |
Ω |
2.0462504045777 |
Real period |
R |
1.8574160325549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678d1 85696bl1 |
Quadratic twists by: -4 8 |