Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ew |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-278623800000 = -1 · 26 · 37 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2057,44489] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:226:1] |
Generators of the group modulo torsion |
j |
-26934258841/7800000 |
j-invariant |
L |
10.678852985508 |
L(r)(E,1)/r! |
Ω |
0.9261411513939 |
Real period |
R |
0.096087341988743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110u1 57330dn1 |
Quadratic twists by: -3 -7 |