Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870f |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
626400 |
Modular degree for the optimal curve |
Δ |
-27453523143299680 = -1 · 25 · 5 · 73 · 298 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 6 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,70626,3376112] |
[a1,a2,a3,a4,a6] |
Generators |
[-61141542:1708263049:1771561] |
Generators of the group modulo torsion |
j |
77882951/54880 |
j-invariant |
L |
3.3078304888582 |
L(r)(E,1)/r! |
Ω |
0.23739808971532 |
Real period |
R |
13.933686209976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997495 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58870n1 |
Quadratic twists by: 29 |