Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504v |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-99008 = -1 · 26 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 3 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61,-184] |
[a1,a2,a3,a4,a6] |
Generators |
[2127:18782:27] |
Generators of the group modulo torsion |
j |
-392223168/1547 |
j-invariant |
L |
10.713668650618 |
L(r)(E,1)/r! |
Ω |
0.85395420161502 |
Real period |
R |
6.2729761328896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504o1 99008db1 |
Quadratic twists by: -4 8 |