Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194b |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-297390491224712 = -1 · 23 · 178 · 732 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4859,-820611] |
[a1,a2,a3,a4,a6] |
Generators |
[380002:-4523231:2744] |
Generators of the group modulo torsion |
j |
525557943/12320648 |
j-invariant |
L |
5.6169326839521 |
L(r)(E,1)/r! |
Ω |
0.26478332770193 |
Real period |
R |
10.606658532277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482b2 |
Quadratic twists by: 17 |