Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584ca |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-7009998016 = -1 · 26 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 4 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-5361] |
[a1,a2,a3,a4,a6] |
Generators |
[1150309134:1057019543:43243551] |
Generators of the group modulo torsion |
j |
-28672/19 |
j-invariant |
L |
7.7230317830613 |
L(r)(E,1)/r! |
Ω |
0.50132702892875 |
Real period |
R |
15.405177333856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584k1 14896y1 59584ct1 |
Quadratic twists by: -4 8 -7 |