Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880a |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-118496000 = -1 · 28 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201,1285] |
[a1,a2,a3,a4,a6] |
Generators |
[4:23:1] |
Generators of the group modulo torsion |
j |
-3525581824/462875 |
j-invariant |
L |
3.4780776795401 |
L(r)(E,1)/r! |
Ω |
1.8079602719128 |
Real period |
R |
0.96187890120516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6440c1 51520bz1 115920bo1 64400r1 |
Quadratic twists by: -4 8 -3 5 |