Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042ca |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
831792436819344 = 24 · 32 · 710 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30479,-1519099] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:784:1] |
Generators of the group modulo torsion |
j |
26615737485793/7070119056 |
j-invariant |
L |
6.0462619560358 |
L(r)(E,1)/r! |
Ω |
0.36847898034 |
Real period |
R |
2.0510878091512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126cm2 6006bb2 |
Quadratic twists by: -3 -7 |