Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720f |
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] |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
1.9492020168521 |
L(r)(E,1)/r! |
Ω |
0.24365025162549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70720bc2 2210g2 |
Quadratic twists by: -4 8 |