Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760z |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
731725382246400 = 213 · 316 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123843,-16724158] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:200:1] |
Generators of the group modulo torsion |
j |
70347817391041/245053350 |
j-invariant |
L |
4.6627373905001 |
L(r)(E,1)/r! |
Ω |
0.25454974141587 |
Real period |
R |
2.2896985500053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470g2 19920j2 |
Quadratic twists by: -4 -3 |