Atkin-Lehner |
2- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21896a |
Isogeny class |
Conductor |
21896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
526277789225216 = 28 · 7 · 176 · 233 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21839,569970] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:850:1] |
Generators of the group modulo torsion |
j |
4499683752694608/2055772614161 |
j-invariant |
L |
5.1610987420832 |
L(r)(E,1)/r! |
Ω |
0.46684879215275 |
Real period |
R |
1.8425304684072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43792d1 |
Quadratic twists by: -4 |