Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300f |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3047139630082800 = -1 · 24 · 318 · 52 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7282,2642637] |
[a1,a2,a3,a4,a6] |
Generators |
[-225641:7302393:4913] |
Generators of the group modulo torsion |
j |
106747104523520/7617849075207 |
j-invariant |
L |
5.6686585409176 |
L(r)(E,1)/r! |
Ω |
0.34356144948753 |
Real period |
R |
4.124923313029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300x1 |
Quadratic twists by: 5 |