Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12324d |
Isogeny class |
Conductor |
12324 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
105148368 = 24 · 34 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377,2652] |
[a1,a2,a3,a4,a6] |
j |
371346423808/6571773 |
j-invariant |
L |
3.7723054256341 |
L(r)(E,1)/r! |
Ω |
1.886152712817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49296w1 36972c1 |
Quadratic twists by: -4 -3 |