Atkin-Lehner |
3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
57285c |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
107116362225 = 311 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2768,-53094] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:62:1] |
Generators of the group modulo torsion |
j |
3216231793081/146936025 |
j-invariant |
L |
3.4310805297816 |
L(r)(E,1)/r! |
Ω |
0.66008028535454 |
Real period |
R |
2.5989872793667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095d1 |
Quadratic twists by: -3 |