Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4760a |
Isogeny class |
Conductor |
4760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10304 |
Modular degree for the optimal curve |
Δ |
-205891532564480 = -1 · 211 · 5 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6536,-717524] |
[a1,a2,a3,a4,a6] |
Generators |
[1434:15673:8] |
Generators of the group modulo torsion |
j |
-15079826167058/100532974885 |
j-invariant |
L |
2.7908539827184 |
L(r)(E,1)/r! |
Ω |
0.23619266044541 |
Real period |
R |
5.9080031899709 |
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 |
9520a1 38080n1 42840cc1 23800h1 |
Quadratic twists by: -4 8 -3 5 |