Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400j |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
205200 = 24 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,5] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] [4:3:1] |
Generators of the group modulo torsion |
j |
34560/19 |
j-invariant |
L |
10.340688441669 |
L(r)(E,1)/r! |
Ω |
2.7542466139147 |
Real period |
R |
1.8772263147071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200d1 68400i1 68400v1 |
Quadratic twists by: -4 -3 5 |