Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616eg |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-3.0154399604388E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1908795,2830284394] |
[a1,a2,a3,a4,a6] |
Generators |
[2303:103194:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
6.8204097846037 |
L(r)(E,1)/r! |
Ω |
0.12434425809878 |
Real period |
R |
2.2854592991804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bo1 25872cf1 77616ey1 |
Quadratic twists by: -4 -3 -7 |