Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ee |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
76077979971840 = 28 · 38 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34187,-2387941] |
[a1,a2,a3,a4,a6] |
j |
51520374361/887040 |
j-invariant |
L |
5.623528427103 |
L(r)(E,1)/r! |
Ω |
0.35147052669779 |
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 |
16170t1 6930bb1 |
Quadratic twists by: -3 -7 |