Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bf |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5795183585646 = 2 · 38 · 7 · 134 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4559,-23767] |
[a1,a2,a3,a4,a6] |
Generators |
[12126:465443:8] |
Generators of the group modulo torsion |
j |
14371948432297/7949497374 |
j-invariant |
L |
12.612885987511 |
L(r)(E,1)/r! |
Ω |
0.62222730718399 |
Real period |
R |
5.0676359921367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25662o2 |
Quadratic twists by: -3 |