Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166ba |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-717470859168 = -1 · 25 · 313 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1480,-34725] |
[a1,a2,a3,a4,a6] |
Generators |
[35:225:1] |
Generators of the group modulo torsion |
j |
492103442375/984184992 |
j-invariant |
L |
5.4116310961386 |
L(r)(E,1)/r! |
Ω |
0.47075036523826 |
Real period |
R |
0.57478777455644 |
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 |
41328bv1 1722c1 129150bh1 36162cz1 |
Quadratic twists by: -4 -3 5 -7 |