Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bq |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-7907842080000000 = -1 · 211 · 313 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57675,6835750] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1350:1] |
Generators of the group modulo torsion |
j |
-909513218/338985 |
j-invariant |
L |
7.244346170658 |
L(r)(E,1)/r! |
Ω |
0.39100431386923 |
Real period |
R |
2.3159418943035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bj1 18600h1 11160g1 |
Quadratic twists by: -4 -3 5 |