Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616em |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11289600 |
Modular degree for the optimal curve |
Δ |
-1.9401440827493E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34359339,80364797786] |
[a1,a2,a3,a4,a6] |
Generators |
[343:261954:1] |
Generators of the group modulo torsion |
j |
-260607143968297/11270993184 |
j-invariant |
L |
5.5141326140309 |
L(r)(E,1)/r! |
Ω |
0.099785121760079 |
Real period |
R |
2.3025028344618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bq1 25872be1 77616fn1 |
Quadratic twists by: -4 -3 -7 |