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 |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
262509984000 = 28 · 37 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1652,8151] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-531:1] |
Generators of the group modulo torsion |
j |
683565019129/360096000 |
j-invariant |
L |
8.1769403130629 |
L(r)(E,1)/r! |
Ω |
0.86157668291297 |
Real period |
R |
0.19772229978747 |
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 |
10230d1 |
Quadratic twists by: -3 |