Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bf |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1261578240000 = 214 · 36 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2705,2703] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:240:1] |
Generators of the group modulo torsion |
j |
133649126224/77000625 |
j-invariant |
L |
5.890234708789 |
L(r)(E,1)/r! |
Ω |
0.73375651202316 |
Real period |
R |
0.66895882265586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480bz2 1560i2 37440bc2 62400u2 |
Quadratic twists by: -4 8 -3 5 |