Atkin-Lehner |
7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5117d |
Isogeny class |
Conductor |
5117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-35819 = -1 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
-1 -1 -1 7+ 2 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [0:3:1] |
Generators of the group modulo torsion |
j |
-148035889/35819 |
j-invariant |
L |
2.674092320721 |
L(r)(E,1)/r! |
Ω |
3.4934582698873 |
Real period |
R |
0.38272853346639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872z1 46053d1 127925d1 35819l1 |
Quadratic twists by: -4 -3 5 -7 |