Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319ba |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18230784 |
Modular degree for the optimal curve |
Δ |
-6.3310933311961E+24 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 11- -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48894285,178807784152] |
[a1,a2,a3,a4,a6] |
Generators |
[-8345:75451:1] [4777:232915:1] |
Generators of the group modulo torsion |
j |
-82723519149568000/40514427486963 |
j-invariant |
L |
5.0244371692915 |
L(r)(E,1)/r! |
Ω |
0.070211373344787 |
Real period |
R |
4.4725990695018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773c1 77319x1 |
Quadratic twists by: -3 -11 |