Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330el |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4.2682046153906E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48086723,-128331176669] |
[a1,a2,a3,a4,a6] |
Generators |
[-4009:3866:1] |
Generators of the group modulo torsion |
j |
143378317900125424089/4976562500000 |
j-invariant |
L |
8.5042171554811 |
L(r)(E,1)/r! |
Ω |
0.05733161349337 |
Real period |
R |
3.7083454648127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370j3 8190bt3 |
Quadratic twists by: -3 -7 |