Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dx |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
113352164868096 = 215 · 35 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61471937,-185528841345] |
[a1,a2,a3,a4,a6] |
j |
6663712298552914184/29403 |
j-invariant |
L |
4.3134057714405 |
L(r)(E,1)/r! |
Ω |
0.053917572325081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488t4 51744k4 2112h3 |
Quadratic twists by: -4 8 -7 |