Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296v |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2139870518575104 = 221 · 3 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-486529,-130763809] |
[a1,a2,a3,a4,a6] |
Generators |
[20025628:-298901385:21952] |
Generators of the group modulo torsion |
j |
48585970090762273/8162958216 |
j-invariant |
L |
5.0059633161917 |
L(r)(E,1)/r! |
Ω |
0.18077013225016 |
Real period |
R |
13.846212460204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bm4 2478e3 |
Quadratic twists by: -4 8 |