Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
293642496000000 = 214 · 34 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26545,1455025] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1600:1] [-104:1755:1] |
Generators of the group modulo torsion |
j |
126260737702864/17922515625 |
j-invariant |
L |
10.090156198062 |
L(r)(E,1)/r! |
Ω |
0.52539421983217 |
Real period |
R |
1.6004103546597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001674 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240kv2 14280n2 |
Quadratic twists by: -4 8 |