Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514j |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-32244182584768 = -1 · 26 · 7 · 112 · 296 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24547,1511395] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1714:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
7.7635922057995 |
L(r)(E,1)/r! |
Ω |
0.65779845106551 |
Real period |
R |
0.9835322961981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999403051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154a1 |
Quadratic twists by: 29 |