Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400bg |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-991545772000000 = -1 · 28 · 56 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111133,14377137] |
[a1,a2,a3,a4,a6] |
Generators |
[-8241:120050:27] |
Generators of the group modulo torsion |
j |
-37948686032896/247886443 |
j-invariant |
L |
9.0023400096841 |
L(r)(E,1)/r! |
Ω |
0.49684951033519 |
Real period |
R |
2.2648558090896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100g1 4816f1 |
Quadratic twists by: -4 5 |