Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264g |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25964573830733824 = -1 · 213 · 11 · 13 · 536 |
Discriminant |
Eigenvalues |
2- 2 3 1 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377904,89878592] |
[a1,a2,a3,a4,a6] |
Generators |
[-877440:44067592:3375] |
Generators of the group modulo torsion |
j |
-1457167176079698097/6339007282894 |
j-invariant |
L |
13.674987109985 |
L(r)(E,1)/r! |
Ω |
0.37833432069785 |
Real period |
R |
4.5181557528658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15158c2 |
Quadratic twists by: -4 |