Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bc |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
346203262812160000 = 226 · 54 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183148,10427472] |
[a1,a2,a3,a4,a6] |
Generators |
[-978643986:-54256384000:10503459] |
Generators of the group modulo torsion |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
6.3774425312041 |
L(r)(E,1)/r! |
Ω |
0.26782838796912 |
Real period |
R |
11.905837501339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000615 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70720f2 17680o2 |
Quadratic twists by: -4 8 |