Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230bb |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4350632720568750000 = 24 · 36 · 58 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-922950,326426436] |
[a1,a2,a3,a4,a6] |
j |
67324767141241/3368750000 |
j-invariant |
L |
1.9405605824788 |
L(r)(E,1)/r! |
Ω |
0.24257007568896 |
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 |
8470bg2 6930w2 |
Quadratic twists by: -3 -11 |