Atkin-Lehner |
2+ 3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386i |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-54234808266912 = -1 · 25 · 3 · 7 · 134 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2335,-357166] |
[a1,a2,a3,a4,a6] |
Generators |
[1209852:48662857:729] |
Generators of the group modulo torsion |
j |
-1407074115849193/54234808266912 |
j-invariant |
L |
5.0974318169328 |
L(r)(E,1)/r! |
Ω |
0.27489675388463 |
Real period |
R |
9.2715387593702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67158bl3 |
Quadratic twists by: -3 |