Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415k |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-705688215 = -1 · 3 · 5 · 196 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,-1279] |
[a1,a2,a3,a4,a6] |
j |
-1/15 |
j-invariant |
L |
2.9296246466043 |
L(r)(E,1)/r! |
Ω |
0.73240616165108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640cm1 16245d1 27075g1 15a8 |
Quadratic twists by: -4 -3 5 -19 |