Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948bg |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2336294548224 = 28 · 33 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120164,-16072764] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:6:1] |
Generators of the group modulo torsion |
j |
6371214852688/77571 |
j-invariant |
L |
7.2508712807501 |
L(r)(E,1)/r! |
Ω |
0.2564224094043 |
Real period |
R |
1.5709476613116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999479259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652b2 |
Quadratic twists by: -7 |