Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5830c |
Isogeny class |
Conductor |
5830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-746240 = -1 · 28 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11+ -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
80062991/746240 |
j-invariant |
L |
6.2965223825148 |
L(r)(E,1)/r! |
Ω |
2.0868586198786 |
Real period |
R |
0.37715314795026 |
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 |
46640n1 52470m1 29150b1 64130c1 |
Quadratic twists by: -4 -3 5 -11 |