Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558j |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-86010043392 = -1 · 210 · 32 · 74 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,734,-11788] |
[a1,a2,a3,a4,a6] |
Generators |
[45:313:1] |
Generators of the group modulo torsion |
j |
43818969206375/86010043392 |
j-invariant |
L |
4.2940388084534 |
L(r)(E,1)/r! |
Ω |
0.56228449137592 |
Real period |
R |
0.95459657751405 |
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 |
100464bb1 37674v1 87906d1 |
Quadratic twists by: -4 -3 -7 |