Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120bi |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
49432148640000 = 28 · 38 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28047,1775986] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1890:1] |
Generators of the group modulo torsion |
j |
13074210168784/264875625 |
j-invariant |
L |
7.5847545016771 |
L(r)(E,1)/r! |
Ω |
0.63440933534288 |
Real period |
R |
0.74722600992998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000933 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26040g2 |
Quadratic twists by: -3 |