Atkin-Lehner |
7+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8323a |
Isogeny class |
Conductor |
8323 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7840 |
Modular degree for the optimal curve |
Δ |
-5886699763 = -1 · 7 · 295 · 41 |
Discriminant |
Eigenvalues |
2 2 -2 7+ 4 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-204,-3791] |
[a1,a2,a3,a4,a6] |
Generators |
[33362898486:113133066065:1280824056] |
Generators of the group modulo torsion |
j |
-943498842112/5886699763 |
j-invariant |
L |
9.9170489268896 |
L(r)(E,1)/r! |
Ω |
0.56365685312888 |
Real period |
R |
17.594124637782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74907e1 58261j1 |
Quadratic twists by: -3 -7 |