Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400b |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19536400000000 = -1 · 210 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8675,-376750] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3250:1] |
Generators of the group modulo torsion |
j |
-4512447684/1221025 |
j-invariant |
L |
5.006556496192 |
L(r)(E,1)/r! |
Ω |
0.24390426197 |
Real period |
R |
2.5658410275073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200b2 17680d2 |
Quadratic twists by: -4 5 |