Atkin-Lehner |
2- 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31668b |
Isogeny class |
Conductor |
31668 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2029960476101376 = 28 · 36 · 7 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74452,-7487960] |
[a1,a2,a3,a4,a6] |
Generators |
[2270:107310:1] |
Generators of the group modulo torsion |
j |
178286593086084688/7929533109771 |
j-invariant |
L |
5.9729807539599 |
L(r)(E,1)/r! |
Ω |
0.28981643411007 |
Real period |
R |
6.8698436331501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bq2 95004j2 |
Quadratic twists by: -4 -3 |