Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gd |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1258139593784304 = -1 · 24 · 311 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-752493,251253331] |
[a1,a2,a3,a4,a6] |
Generators |
[1106:27783:1] |
Generators of the group modulo torsion |
j |
-34339609640704/916839 |
j-invariant |
L |
6.3252155046491 |
L(r)(E,1)/r! |
Ω |
0.44988997744202 |
Real period |
R |
0.87871699505721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404o1 25872cl1 11088bv1 |
Quadratic twists by: -4 -3 -7 |