Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432g |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-373492905119488 = -1 · 28 · 77 · 116 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5929,913066] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:484:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
4.199031050006 |
L(r)(E,1)/r! |
Ω |
0.39865612010683 |
Real period |
R |
2.6332413063706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94864n1 6776c1 392a1 |
Quadratic twists by: -4 -7 -11 |