Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616eq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-4.2103821240219E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,770721,-172156502] |
[a1,a2,a3,a4,a6] |
j |
47061251888/39135393 |
j-invariant |
L |
2.2491130655042 |
L(r)(E,1)/r! |
Ω |
0.1124556543537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404i1 25872ce1 77616gp1 |
Quadratic twists by: -4 -3 -7 |