Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240in |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-48169754787840 = -1 · 215 · 3 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7679,-208225] |
[a1,a2,a3,a4,a6] |
j |
1528027683832/1470024255 |
j-invariant |
L |
2.7758787026595 |
L(r)(E,1)/r! |
Ω |
0.34698490995886 |
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 |
114240gn3 57120bq2 |
Quadratic twists by: -4 8 |