Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120224i |
Isogeny class |
Conductor |
120224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-371445132218368 = -1 · 212 · 13 · 178 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13487,-700065] |
[a1,a2,a3,a4,a6] |
Generators |
[6845:566440:1] |
Generators of the group modulo torsion |
j |
2744000/3757 |
j-invariant |
L |
6.0666666977145 |
L(r)(E,1)/r! |
Ω |
0.28544199724211 |
Real period |
R |
5.3133970014667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120224b2 7072g2 |
Quadratic twists by: -4 17 |