Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558h |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-44986598748 = -1 · 22 · 310 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2083,37802] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:278:1] [-27:286:1] |
Generators of the group modulo torsion |
j |
-998830456240681/44986598748 |
j-invariant |
L |
4.5697918213731 |
L(r)(E,1)/r! |
Ω |
1.1263903094967 |
Real period |
R |
0.20285116903279 |
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 |
100464bi1 37674q1 87906g1 |
Quadratic twists by: -4 -3 -7 |