Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104bi |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-63447769088 = -1 · 213 · 114 · 232 |
Discriminant |
Eigenvalues |
2- -3 -2 -2 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,989,-1886] |
[a1,a2,a3,a4,a6] |
Generators |
[9:88:1] [41:328:1] |
Generators of the group modulo torsion |
j |
49373847/29282 |
j-invariant |
L |
5.3811803306471 |
L(r)(E,1)/r! |
Ω |
0.64649139232933 |
Real period |
R |
0.52022930949059 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638f1 93104u1 |
Quadratic twists by: -4 -23 |