Atkin-Lehner |
3- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325x |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
13564594125 = 37 · 53 · 292 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -3 -7 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-823,-7436] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:22:1] [-16:43:1] |
Generators of the group modulo torsion |
j |
493788299264/108516753 |
j-invariant |
L |
10.065411021109 |
L(r)(E,1)/r! |
Ω |
0.90521689398437 |
Real period |
R |
0.39711915171957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128325k1 |
Quadratic twists by: 5 |