Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480m |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
140383027200 = 216 · 3 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6625,-204575] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:23:1] [-45:20:1] |
Generators of the group modulo torsion |
j |
490757540836/2142075 |
j-invariant |
L |
5.3838213164678 |
L(r)(E,1)/r! |
Ω |
0.52931191995381 |
Real period |
R |
5.0856792691699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480cz3 1560e3 37440bh4 62400dd4 |
Quadratic twists by: -4 8 -3 5 |