Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760by |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2970864000000000000 = 216 · 33 · 512 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359440,-1797100] |
[a1,a2,a3,a4,a6] |
Generators |
[-580:3450:1] |
Generators of the group modulo torsion |
j |
1253845972159670161/725308593750000 |
j-invariant |
L |
8.0986995915997 |
L(r)(E,1)/r! |
Ω |
0.21360809786446 |
Real period |
R |
1.0531617471005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970m2 |
Quadratic twists by: -4 |