Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ci |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
874603229701017600 = 212 · 36 · 52 · 74 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1591280,771843072] |
[a1,a2,a3,a4,a6] |
Generators |
[1282:28934:1] |
Generators of the group modulo torsion |
j |
108793725842818462321/213526179126225 |
j-invariant |
L |
7.0308092164725 |
L(r)(E,1)/r! |
Ω |
0.2811389902142 |
Real period |
R |
6.2520758977631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970332 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
4935i3 |
Quadratic twists by: -4 |