Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bf |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1006217634816000 = 213 · 312 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195483,33231818] |
[a1,a2,a3,a4,a6] |
Generators |
[133:3096:1] |
Generators of the group modulo torsion |
j |
276670733768281/336980250 |
j-invariant |
L |
3.8932753023533 |
L(r)(E,1)/r! |
Ω |
0.49211729993234 |
Real period |
R |
0.98890937762409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870s2 123840gk2 10320v2 |
Quadratic twists by: -4 8 -3 |