Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dc |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-155394715882881024 = -1 · 218 · 39 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108756,-13005360] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
4.2055122757113 |
L(r)(E,1)/r! |
Ω |
0.17522969240514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712g2 26928y2 107712cu2 |
Quadratic twists by: -4 8 -3 |