Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bq |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0068882105716E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31582,152680910] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:11938:1] |
Generators of the group modulo torsion |
j |
-29609739866953/85584085761174 |
j-invariant |
L |
4.5682422780537 |
L(r)(E,1)/r! |
Ω |
0.18401813850296 |
Real period |
R |
3.1031195587715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fg3 6006d4 |
Quadratic twists by: -3 -7 |