Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800q |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-6076000000 = -1 · 28 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,3750] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] |
Generators of the group modulo torsion |
j |
432/1519 |
j-invariant |
L |
6.8863247764509 |
L(r)(E,1)/r! |
Ω |
1.055876964095 |
Real period |
R |
1.6304751907858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400b1 3472a1 |
Quadratic twists by: -4 5 |