Atkin-Lehner |
2- 3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370bb |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-248601600 = -1 · 210 · 32 · 52 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,149,305] |
[a1,a2,a3,a4,a6] |
Generators |
[8:41:1] |
Generators of the group modulo torsion |
j |
365679263951/248601600 |
j-invariant |
L |
10.045341508716 |
L(r)(E,1)/r! |
Ω |
1.1047694311563 |
Real period |
R |
0.90927040750953 |
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 |
97110y1 |
Quadratic twists by: -3 |