Atkin-Lehner |
2- 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550n |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-693064737800 = -1 · 23 · 52 · 374 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18218,939711] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-3:1] |
Generators of the group modulo torsion |
j |
-26747751922499785/27722589512 |
j-invariant |
L |
5.7357456754476 |
L(r)(E,1)/r! |
Ω |
0.90122217563455 |
Real period |
R |
0.2651836688637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550d1 |
Quadratic twists by: 5 |