Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480m |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15575040000 = 214 · 32 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625,625] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:48:1] [-15:80:1] |
Generators of the group modulo torsion |
j |
1650587344/950625 |
j-invariant |
L |
5.3838213164678 |
L(r)(E,1)/r! |
Ω |
1.0586238399076 |
Real period |
R |
1.2714198172925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480cz2 1560e2 37440bh2 62400dd2 |
Quadratic twists by: -4 8 -3 5 |