Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bc |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1637370298368 = 221 · 38 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325057,71224223] |
[a1,a2,a3,a4,a6] |
Generators |
[17627:2339136:1] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
7.5781584306015 |
L(r)(E,1)/r! |
Ω |
0.68623734467117 |
Real period |
R |
5.5215287316029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848ci4 714f4 68544bf4 |
Quadratic twists by: -4 8 -3 |