Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960u |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
7608729600 = 218 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1203,-15502] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:6:1] |
Generators of the group modulo torsion |
j |
1740992427/68800 |
j-invariant |
L |
5.4696954240495 |
L(r)(E,1)/r! |
Ω |
0.81262402761553 |
Real period |
R |
1.6827263402791 |
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 |
3870b1 123840dz1 30960ba1 |
Quadratic twists by: -4 8 -3 |