Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5830f |
Isogeny class |
Conductor |
5830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-656691200 = -1 · 212 · 52 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 11- -7 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-708,7527] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:93:1] [125:-1427:1] |
Generators of the group modulo torsion |
j |
-39196589992209/656691200 |
j-invariant |
L |
4.3092211379035 |
L(r)(E,1)/r! |
Ω |
1.6202568379854 |
Real period |
R |
0.055408153984145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46640j1 52470i1 29150h1 64130g1 |
Quadratic twists by: -4 -3 5 -11 |