Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870n |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-46154080 = -1 · 25 · 5 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,84,173] |
[a1,a2,a3,a4,a6] |
Generators |
[9:37:1] |
Generators of the group modulo torsion |
j |
77882951/54880 |
j-invariant |
L |
12.504222273535 |
L(r)(E,1)/r! |
Ω |
1.2784278380159 |
Real period |
R |
0.65206247347804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870f1 |
Quadratic twists by: 29 |