Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bp |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1.1096073188193E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,91065,-159909494] |
[a1,a2,a3,a4,a6] |
Generators |
[512:4326:1] |
Generators of the group modulo torsion |
j |
709899390552743/94315065901056 |
j-invariant |
L |
6.2029712955137 |
L(r)(E,1)/r! |
Ω |
0.10750901787548 |
Real period |
R |
4.808101542004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fi1 6006h1 |
Quadratic twists by: -3 -7 |