Atkin-Lehner |
7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6853d |
Isogeny class |
Conductor |
6853 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-527681 = -1 · 72 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 1 -3 7+ 11- 4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9477,-355894] |
[a1,a2,a3,a4,a6] |
j |
-94132418755192273/527681 |
j-invariant |
L |
0.96774646002264 |
L(r)(E,1)/r! |
Ω |
0.24193661500566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648o1 61677f1 47971l1 75383c1 |
Quadratic twists by: -4 -3 -7 -11 |