Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bg |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
23203324025000000 = 26 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79855,-4641353] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:870:1] |
Generators of the group modulo torsion |
j |
89314623/36800 |
j-invariant |
L |
8.579854727469 |
L(r)(E,1)/r! |
Ω |
0.2944915297321 |
Real period |
R |
2.4278725252142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270h1 56350bf1 |
Quadratic twists by: 5 -7 |