Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960c |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
444416 |
Modular degree for the optimal curve |
Δ |
-671484020480000 = -1 · 211 · 54 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -5 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20237,-571438] |
[a1,a2,a3,a4,a6] |
j |
11090466/8125 |
j-invariant |
L |
4.5824976294729 |
L(r)(E,1)/r! |
Ω |
0.28640610182322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25480a1 50960n1 |
Quadratic twists by: -4 -7 |