Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485i |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
809409612515625 = 34 · 56 · 116 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46285,3560690] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:2785:1] [-986:22269:8] |
Generators of the group modulo torsion |
j |
6189976379881/456890625 |
j-invariant |
L |
4.626365471908 |
L(r)(E,1)/r! |
Ω |
0.4921540571715 |
Real period |
R |
1.5667064016828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103455p2 285c2 |
Quadratic twists by: -3 -11 |