Atkin-Lehner |
2- 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
125208h |
Isogeny class |
Conductor |
125208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2251490256 = 24 · 37 · 372 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-534,4165] |
[a1,a2,a3,a4,a6] |
Generators |
[98:945:1] |
Generators of the group modulo torsion |
j |
1443776512/193029 |
j-invariant |
L |
8.9366704607839 |
L(r)(E,1)/r! |
Ω |
1.4049754465672 |
Real period |
R |
3.180365305033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736c1 |
Quadratic twists by: -3 |