Atkin-Lehner |
2+ 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6042g |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
11416769856 = 26 · 311 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3094,65768] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-355:1] |
Generators of the group modulo torsion |
j |
3274031454654169/11416769856 |
j-invariant |
L |
3.3909447639934 |
L(r)(E,1)/r! |
Ω |
1.2803249395918 |
Real period |
R |
0.12038651137884 |
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 |
48336be1 18126k1 114798n1 |
Quadratic twists by: -4 -3 -19 |