Atkin-Lehner |
2- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514g |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-464178176 = -1 · 210 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119,1101] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] [-11:40:1] |
Generators of the group modulo torsion |
j |
-221715817/551936 |
j-invariant |
L |
12.828526036093 |
L(r)(E,1)/r! |
Ω |
1.4724730464814 |
Real period |
R |
0.43561157434501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514c1 |
Quadratic twists by: 29 |