Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006i |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1143041163264 = 220 · 32 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23051,-1355715] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:72:1] |
Generators of the group modulo torsion |
j |
1354635530322645817/1143041163264 |
j-invariant |
L |
2.1682225814953 |
L(r)(E,1)/r! |
Ω |
0.38747765079955 |
Real period |
R |
1.8652452831978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cc1 18018bj1 42042bo1 66066bq1 |
Quadratic twists by: -4 -3 -7 -11 |