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 |
26682793200000000 = 210 · 34 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4577008,-3770470012] |
[a1,a2,a3,a4,a6] |
Generators |
[4832:294882:1] |
Generators of the group modulo torsion |
j |
5633270409316/14175 |
j-invariant |
L |
7.8630585525554 |
L(r)(E,1)/r! |
Ω |
0.10321770404106 |
Real period |
R |
4.7612099503984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cp4 11760j3 8400e4 |
Quadratic twists by: -4 5 -7 |