Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948y |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
98784 |
Modular degree for the optimal curve |
Δ |
-18567490032 = -1 · 24 · 37 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702,9477] |
[a1,a2,a3,a4,a6] |
Generators |
[9:63:1] |
Generators of the group modulo torsion |
j |
-997335808/483327 |
j-invariant |
L |
10.597687876126 |
L(r)(E,1)/r! |
Ω |
1.1418723509509 |
Real period |
R |
0.44195115452488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948e1 |
Quadratic twists by: -7 |