Atkin-Lehner |
2+ 3+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592a |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
42336601344 = 28 · 33 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -1 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1572,21852] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1083:8] |
Generators of the group modulo torsion |
j |
62155219968/6125087 |
j-invariant |
L |
6.8229437413547 |
L(r)(E,1)/r! |
Ω |
1.110736007706 |
Real period |
R |
1.5356807681938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64296a1 128592b1 |
Quadratic twists by: -4 -3 |