Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880v |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-96585372143750000 = -1 · 24 · 58 · 74 · 235 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,102230,-8114725] |
[a1,a2,a3,a4,a6] |
Generators |
[265:6125:1] |
Generators of the group modulo torsion |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
3.6655228430987 |
L(r)(E,1)/r! |
Ω |
0.18693722197157 |
Real period |
R |
1.2255193228907 |
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 |
3220d1 51520bk1 115920db1 64400bw1 |
Quadratic twists by: -4 8 -3 5 |