Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480i |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
106596000000 = 28 · 34 · 56 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8716,309920] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:750:1] |
Generators of the group modulo torsion |
j |
286078511775184/416390625 |
j-invariant |
L |
7.0960516354272 |
L(r)(E,1)/r! |
Ω |
1.0569230724702 |
Real period |
R |
1.6784692803717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960c1 118440co1 |
Quadratic twists by: -4 -3 |