Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300bf |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
1096416000 = 28 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-5650] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:115:8] |
Generators of the group modulo torsion |
j |
1102736/47 |
j-invariant |
L |
6.1701973816446 |
L(r)(E,1)/r! |
Ω |
0.96121961997783 |
Real period |
R |
3.2095669155156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700i1 42300z1 |
Quadratic twists by: -3 5 |