Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12740a |
Isogeny class |
Conductor |
12740 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-299769652000000 = -1 · 28 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -5 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14063,1051638] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1274:1] [39:750:1] |
Generators of the group modulo torsion |
j |
-208417104/203125 |
j-invariant |
L |
5.9164649417206 |
L(r)(E,1)/r! |
Ω |
0.49760463883311 |
Real period |
R |
0.66054950277998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960o1 114660bj1 63700f1 12740f1 |
Quadratic twists by: -4 -3 5 -7 |