Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ip |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71841423360000 = -1 · 216 · 3 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7841,484959] |
[a1,a2,a3,a4,a6] |
j |
-813604851364/1096213125 |
j-invariant |
L |
4.4365401645677 |
L(r)(E,1)/r! |
Ω |
0.554567434181 |
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 |
114240bi3 28560t3 |
Quadratic twists by: -4 8 |