Atkin-Lehner |
5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965i |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
764405 = 5 · 172 · 232 |
Discriminant |
Eigenvalues |
0 -2 5- -2 -3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2775,-57201] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:-3:8] [93:705:1] |
Generators of the group modulo torsion |
j |
4469032321024/1445 |
j-invariant |
L |
5.2266039096829 |
L(r)(E,1)/r! |
Ω |
0.65776502182165 |
Real period |
R |
3.9730023156358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44965a1 |
Quadratic twists by: -23 |