Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504u |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-228906496 = -1 · 29 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -2 1 7- -4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-728] |
[a1,a2,a3,a4,a6] |
Generators |
[22:102:1] |
Generators of the group modulo torsion |
j |
-8/447083 |
j-invariant |
L |
3.7167557055726 |
L(r)(E,1)/r! |
Ω |
0.8094072719475 |
Real period |
R |
0.76532458470063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504m1 99008cu1 |
Quadratic twists by: -4 8 |