Atkin-Lehner |
2- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258k |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-13198954743832 = -1 · 23 · 11 · 132 · 316 |
Discriminant |
Eigenvalues |
2- -2 0 4 11+ 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1017,174433] |
[a1,a2,a3,a4,a6] |
j |
688292720375/78100323928 |
j-invariant |
L |
3.2629288674725 |
L(r)(E,1)/r! |
Ω |
0.54382159079431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115258h2 |
Quadratic twists by: 13 |