Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800do |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
64854011250000 = 24 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-900783,328762188] |
[a1,a2,a3,a4,a6] |
Generators |
[58788:1065603:64] |
Generators of the group modulo torsion |
j |
2748251600896/2205 |
j-invariant |
L |
6.8363020601464 |
L(r)(E,1)/r! |
Ω |
0.51655186980641 |
Real period |
R |
6.6172464564348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400o1 11760f1 8400j1 |
Quadratic twists by: -4 5 -7 |