Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554u |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
14569260427296 = 25 · 33 · 19 · 316 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84137492,297044972400] |
[a1,a2,a3,a4,a6] |
j |
74220219816682217473/16416 |
j-invariant |
L |
8.5796463640165 |
L(r)(E,1)/r! |
Ω |
0.28598820864957 |
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 |
114c3 |
Quadratic twists by: -31 |