Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bk |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44123845147667712 = 28 · 39 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197127,-32135670] |
[a1,a2,a3,a4,a6] |
j |
1429033968/74431 |
j-invariant |
L |
1.8184752703679 |
L(r)(E,1)/r! |
Ω |
0.2273093707996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109368h2 15624p2 |
Quadratic twists by: -3 -7 |