Atkin-Lehner |
5+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725k |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
705020823828125 = 58 · 76 · 232 · 29 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 6 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100776,-12255427] |
[a1,a2,a3,a4,a6] |
j |
7243839850989169/45121332725 |
j-invariant |
L |
3.2166584188577 |
L(r)(E,1)/r! |
Ω |
0.26805489779247 |
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 |
23345c2 |
Quadratic twists by: 5 |