Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fi |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[696:-765:1] |
Generators of the group modulo torsion |
j |
1114128841413009241/57352050 |
j-invariant |
L |
4.7043100767607 |
L(r)(E,1)/r! |
Ω |
0.5249726478957 |
Real period |
R |
1.1201321869851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dt2 28560dr2 |
Quadratic twists by: -4 8 |