Atkin-Lehner |
2+ 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296l |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
4204603728 = 24 · 39 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 6 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-518323,-143804128] |
[a1,a2,a3,a4,a6] |
j |
962511681778809088000/262787733 |
j-invariant |
L |
3.2027413716056 |
L(r)(E,1)/r! |
Ω |
0.17793007618749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648c1 |
Quadratic twists by: -4 |