Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dc |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-500944159800 = -1 · 23 · 39 · 52 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1907,11657] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:65:1] |
Generators of the group modulo torsion |
j |
30677611902215/20037766392 |
j-invariant |
L |
11.832957002345 |
L(r)(E,1)/r! |
Ω |
0.58185050681351 |
Real period |
R |
0.18830337931377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650n1 |
Quadratic twists by: 5 |