Atkin-Lehner |
2- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5830g |
Isogeny class |
Conductor |
5830 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-728750000 = -1 · 24 · 57 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130,-1473] |
[a1,a2,a3,a4,a6] |
Generators |
[27:111:1] |
Generators of the group modulo torsion |
j |
-243087455521/728750000 |
j-invariant |
L |
5.3714385370193 |
L(r)(E,1)/r! |
Ω |
0.653468657799 |
Real period |
R |
0.29356739350587 |
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 |
46640u1 52470g1 29150d1 64130i1 |
Quadratic twists by: -4 -3 5 -11 |