Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960p |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
170553600 = 28 · 34 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8876,318924] |
[a1,a2,a3,a4,a6] |
Generators |
[34:240:1] |
Generators of the group modulo torsion |
j |
302123533699024/666225 |
j-invariant |
L |
7.8831160851458 |
L(r)(E,1)/r! |
Ω |
1.5603517833753 |
Real period |
R |
1.2630350682783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480b1 |
Quadratic twists by: -4 |