Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
30876a |
Isogeny class |
Conductor |
30876 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-2490952176 = -1 · 24 · 36 · 31 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 6 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90,2349] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:27:1] |
Generators of the group modulo torsion |
j |
4983067904/155684511 |
j-invariant |
L |
6.1527989760129 |
L(r)(E,1)/r! |
Ω |
1.0906864954157 |
Real period |
R |
1.4103041987486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504bh1 92628c1 |
Quadratic twists by: -4 -3 |