Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042o |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2038991258304 = 26 · 310 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30671,2053605] |
[a1,a2,a3,a4,a6] |
Generators |
[38:953:1] |
Generators of the group modulo torsion |
j |
9303267841891759/5944580928 |
j-invariant |
L |
3.0184930134181 |
L(r)(E,1)/r! |
Ω |
0.81895677798421 |
Real period |
R |
0.92144454217915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fx2 42042bc2 |
Quadratic twists by: -3 -7 |