Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504q |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-819885248 = -1 · 26 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86,-1372] |
[a1,a2,a3,a4,a6] |
Generators |
[11:28:1] [32:-182:1] |
Generators of the group modulo torsion |
j |
1086373952/12810707 |
j-invariant |
L |
7.2645082392892 |
L(r)(E,1)/r! |
Ω |
0.78042861466009 |
Real period |
R |
0.51713095021186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504i1 99008cm1 |
Quadratic twists by: -4 8 |