Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680m |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
276264289440000 = 28 · 314 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25383,-1335418] |
[a1,a2,a3,a4,a6] |
Generators |
[7959:110656:27] |
Generators of the group modulo torsion |
j |
9691367618896/1480325625 |
j-invariant |
L |
4.5720343070502 |
L(r)(E,1)/r! |
Ω |
0.38211735135991 |
Real period |
R |
5.9825002591206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6840e2 54720eh2 4560d2 68400bv2 |
Quadratic twists by: -4 8 -3 5 |