Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cd |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
817373312000 = 210 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8648,-306472] |
[a1,a2,a3,a4,a6] |
Generators |
[113:399:1] |
Generators of the group modulo torsion |
j |
69850705729536/798216125 |
j-invariant |
L |
3.8328376830965 |
L(r)(E,1)/r! |
Ω |
0.49541663494184 |
Real period |
R |
1.9341486603181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560m1 10640d1 |
Quadratic twists by: -4 8 |