Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bf |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8985600000000 = 216 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30785,2063775] |
[a1,a2,a3,a4,a6] |
Generators |
[115:240:1] |
Generators of the group modulo torsion |
j |
49235161015876/137109375 |
j-invariant |
L |
5.890234708789 |
L(r)(E,1)/r! |
Ω |
0.73375651202316 |
Real period |
R |
0.33447941132793 |
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 |
12480bz3 1560i4 37440bc4 62400u4 |
Quadratic twists by: -4 8 -3 5 |