Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cf |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
53810299620 = 22 · 33 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12872,565191] |
[a1,a2,a3,a4,a6] |
j |
74246873427/16940 |
j-invariant |
L |
4.3638630131379 |
L(r)(E,1)/r! |
Ω |
1.0909657535314 |
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 |
48510f1 6930r1 |
Quadratic twists by: -3 -7 |