Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434q |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
448373352746135916 = 22 · 36 · 117 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319281,61593857] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:10993:1] |
Generators of the group modulo torsion |
j |
2787148207017/347181164 |
j-invariant |
L |
4.8563183325134 |
L(r)(E,1)/r! |
Ω |
0.28648219740541 |
Real period |
R |
2.1189442371304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998407278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12826i3 10494e3 |
Quadratic twists by: -3 -11 |