Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ev |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-3.5113198840574E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1762888,33502011] |
[a1,a2,a3,a4,a6] |
Generators |
[101:14529:1] |
Generators of the group modulo torsion |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
10.623177569722 |
L(r)(E,1)/r! |
Ω |
0.10226107676417 |
Real period |
R |
0.86569086252489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110c1 1170k1 |
Quadratic twists by: -3 -7 |