Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042n |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1741062138816 = -1 · 26 · 3 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,514,63540] |
[a1,a2,a3,a4,a6] |
Generators |
[13:263:1] |
Generators of the group modulo torsion |
j |
127263527/14798784 |
j-invariant |
L |
2.8832308444204 |
L(r)(E,1)/r! |
Ω |
0.64400387110102 |
Real period |
R |
2.2385198084966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fw1 6006n1 |
Quadratic twists by: -3 -7 |