Atkin-Lehner |
2+ 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258f |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-705644514459777178 = -1 · 2 · 119 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-338511,-85935484] |
[a1,a2,a3,a4,a6] |
Generators |
[728:6956:1] [794:11686:1] |
Generators of the group modulo torsion |
j |
-888751018248625/146192756842 |
j-invariant |
L |
6.5003884429429 |
L(r)(E,1)/r! |
Ω |
0.098079325162227 |
Real period |
R |
3.6820470621489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
682a3 |
Quadratic twists by: 13 |