Atkin-Lehner |
3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21489b |
Isogeny class |
Conductor |
21489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
968358685651617 = 3 · 134 · 19 · 296 |
Discriminant |
Eigenvalues |
1 3+ -2 0 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25786,-557249] |
[a1,a2,a3,a4,a6] |
j |
1896277809368356777/968358685651617 |
j-invariant |
L |
0.39786815874675 |
L(r)(E,1)/r! |
Ω |
0.39786815874677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64467m1 |
Quadratic twists by: -3 |