Atkin-Lehner |
2+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6110a |
Isogeny class |
Conductor |
6110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-269939800 = -1 · 23 · 52 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-564,5162] |
[a1,a2,a3,a4,a6] |
Generators |
[16:9:1] |
Generators of the group modulo torsion |
j |
-19790357598649/269939800 |
j-invariant |
L |
1.9761204920042 |
L(r)(E,1)/r! |
Ω |
1.7472090428743 |
Real period |
R |
1.6965232352107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48880l1 54990br1 30550o1 79430o1 |
Quadratic twists by: -4 -3 5 13 |