Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ct |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
129708022500000000 = 28 · 32 · 510 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289508,-57495012] |
[a1,a2,a3,a4,a6] |
Generators |
[5935907:181040202:4913] |
Generators of the group modulo torsion |
j |
5702413264/275625 |
j-invariant |
L |
7.8630585525554 |
L(r)(E,1)/r! |
Ω |
0.20643540808212 |
Real period |
R |
9.5224199007969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999418 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400cp2 11760j2 8400e2 |
Quadratic twists by: -4 5 -7 |