Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dt |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15034495795200 = 219 · 34 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1382241,-625955841] |
[a1,a2,a3,a4,a6] |
j |
1114128841413009241/57352050 |
j-invariant |
L |
2.2277864011867 |
L(r)(E,1)/r! |
Ω |
0.1392366568623 |
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 |
114240fi2 3570h2 |
Quadratic twists by: -4 8 |