Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042y |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-615095460689762052 = -1 · 22 · 315 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-239636,58823174] |
[a1,a2,a3,a4,a6] |
Generators |
[249:-3947:1] |
Generators of the group modulo torsion |
j |
-263993340837625/106698472452 |
j-invariant |
L |
4.8732165919916 |
L(r)(E,1)/r! |
Ω |
0.27132264488903 |
Real period |
R |
0.89804826168932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126126eo1 42042i1 |
Quadratic twists by: -3 -7 |