Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912p |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51056398181376 = 210 · 32 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12952,455680] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:930:1] |
Generators of the group modulo torsion |
j |
1994709028/423801 |
j-invariant |
L |
6.3963815154296 |
L(r)(E,1)/r! |
Ω |
0.59799780754817 |
Real period |
R |
2.6740823436748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36456z2 10416k2 |
Quadratic twists by: -4 -7 |