Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ek |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12188160000000000 = 218 · 32 · 510 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57633,-403137] |
[a1,a2,a3,a4,a6] |
Generators |
[249:864:1] |
Generators of the group modulo torsion |
j |
5168743489/2975625 |
j-invariant |
L |
6.2011046877733 |
L(r)(E,1)/r! |
Ω |
0.33535511737499 |
Real period |
R |
4.622789672312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921642 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400ga2 1725d2 22080q2 |
Quadratic twists by: -4 8 5 |