Atkin-Lehner |
2+ 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77832c |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-605221632 = -1 · 28 · 37 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,2324] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-18:1] [-2:54:1] |
Generators of the group modulo torsion |
j |
-16000000/3243 |
j-invariant |
L |
10.539063018029 |
L(r)(E,1)/r! |
Ω |
1.5601086359481 |
Real period |
R |
0.42220869973138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25944f1 |
Quadratic twists by: -3 |