Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950j |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-204238664000000 = -1 · 29 · 56 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4926,-700752] |
[a1,a2,a3,a4,a6] |
j |
-7189057/111104 |
j-invariant |
L |
0.48347373457393 |
L(r)(E,1)/r! |
Ω |
0.24173688201837 |
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 |
3038h1 10850h1 |
Quadratic twists by: 5 -7 |