Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591l |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-2352758893353099 = -1 · 313 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ 11- -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46101,4467834] |
[a1,a2,a3,a4,a6] |
Generators |
[137:850:1] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
4.2422982043019 |
L(r)(E,1)/r! |
Ω |
0.43970944956126 |
Real period |
R |
1.2059947218191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43197m1 1071d1 |
Quadratic twists by: -3 -11 |