Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gx |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-229089686740992000 = -1 · 216 · 32 · 53 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,150904,-4555020] |
[a1,a2,a3,a4,a6] |
Generators |
[21639:3183726:1] |
Generators of the group modulo torsion |
j |
788632918919/475398000 |
j-invariant |
L |
8.9096243896804 |
L(r)(E,1)/r! |
Ω |
0.18261538576525 |
Real period |
R |
6.0986266659526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998874823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170g1 18480cl1 |
Quadratic twists by: -4 -7 |