Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936t |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
798636202552387584 = 211 · 316 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268144,-31653236] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:4410:1] [-1094:12495:8] |
Generators of the group modulo torsion |
j |
8849350367426/3314597517 |
j-invariant |
L |
5.1806950683377 |
L(r)(E,1)/r! |
Ω |
0.21646467165101 |
Real period |
R |
23.933212883303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25872q3 103488df3 38808v3 1848k4 |
Quadratic twists by: -4 8 -3 -7 |