Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cr |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-139053204768817152 = -1 · 221 · 38 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89868,20722160] |
[a1,a2,a3,a4,a6] |
j |
-420021471169/727634952 |
j-invariant |
L |
4.6845060699713 |
L(r)(E,1)/r! |
Ω |
0.29278163922277 |
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 |
107712ed2 3366g2 35904g2 |
Quadratic twists by: -4 8 -3 |