Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bl |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-17339082750000 = -1 · 24 · 38 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6268,58839] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-699:1] |
Generators of the group modulo torsion |
j |
37363547401991/23784750000 |
j-invariant |
L |
8.1769403130629 |
L(r)(E,1)/r! |
Ω |
0.43078834145648 |
Real period |
R |
0.39544459957493 |
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 |
10230d2 |
Quadratic twists by: -3 |