Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382c |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5256218304 = 26 · 37 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156663,23906205] |
[a1,a2,a3,a4,a6] |
Generators |
[217:197:1] |
Generators of the group modulo torsion |
j |
583306826994199153/7210176 |
j-invariant |
L |
3.2993024195003 |
L(r)(E,1)/r! |
Ω |
0.95926107419661 |
Real period |
R |
1.7197103626161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056q2 4794h2 |
Quadratic twists by: -4 -3 |