Atkin-Lehner |
2- 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174l |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
1550297044465375232 = 211 · 1310 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 2 4 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35082798,79966841963] |
[a1,a2,a3,a4,a6] |
Generators |
[3459:2299:1] |
Generators of the group modulo torsion |
j |
989341593043296363625/321184667648 |
j-invariant |
L |
18.227551830101 |
L(r)(E,1)/r! |
Ω |
0.21570666835966 |
Real period |
R |
3.8409803852409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398f2 |
Quadratic twists by: 13 |