Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744s |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-1710845817980977152 = -1 · 219 · 33 · 172 · 535 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-810243,287685890] |
[a1,a2,a3,a4,a6] |
Generators |
[1655:58990:1] |
Generators of the group modulo torsion |
j |
-531919440403418907/15469887677056 |
j-invariant |
L |
11.231861305057 |
L(r)(E,1)/r! |
Ω |
0.26462277947414 |
Real period |
R |
5.305600150219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218b1 129744p1 |
Quadratic twists by: -4 -3 |