Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872c |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
563923339471199232 = 210 · 312 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207544,4433980] |
[a1,a2,a3,a4,a6] |
j |
6522128932/3720087 |
j-invariant |
L |
0.49969670341 |
L(r)(E,1)/r! |
Ω |
0.24984837349632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
168b3 |
Quadratic twists by: -23 |