Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504o |
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 |
[-9:2:1] [4:2:1] |
Generators of the group modulo torsion |
j |
-392223168/1547 |
j-invariant |
L |
5.0525253920895 |
L(r)(E,1)/r! |
Ω |
3.3831506464757 |
Real period |
R |
0.74671894929512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504v1 99008cc1 |
Quadratic twists by: -4 8 |