Atkin-Lehner |
2- 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430bf |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
112376954880 = 214 · 33 · 5 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2070,32292] |
[a1,a2,a3,a4,a6] |
Generators |
[12:90:1] |
Generators of the group modulo torsion |
j |
980952235382881/112376954880 |
j-invariant |
L |
10.83441520412 |
L(r)(E,1)/r! |
Ω |
1.0193821622263 |
Real period |
R |
0.5061149318159 |
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 |
97290g1 |
Quadratic twists by: -3 |