Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bj |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2736829296 = -1 · 24 · 38 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 1 2 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10749,428951] |
[a1,a2,a3,a4,a6] |
Generators |
[62:29:1] |
Generators of the group modulo torsion |
j |
-11775528009472/234639 |
j-invariant |
L |
5.2389090708719 |
L(r)(E,1)/r! |
Ω |
1.3231730629709 |
Real period |
R |
0.98983822726549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999137331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364l1 43152z1 |
Quadratic twists by: -4 -3 |