Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bc |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
10847520000 = 28 · 37 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,-36700] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] |
Generators of the group modulo torsion |
j |
8780800/93 |
j-invariant |
L |
5.2483001303864 |
L(r)(E,1)/r! |
Ω |
0.7057040087926 |
Real period |
R |
0.92962135417493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600ci1 18600x1 55800bv1 |
Quadratic twists by: -4 -3 5 |