Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330el |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
5.5681973043278E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3140003,-1815149213] |
[a1,a2,a3,a4,a6] |
Generators |
[-1265:12098:1] |
Generators of the group modulo torsion |
j |
39920686684059609/6492304000000 |
j-invariant |
L |
8.5042171554811 |
L(r)(E,1)/r! |
Ω |
0.11466322698674 |
Real period |
R |
1.8541727324064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999291 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6370j2 8190bt2 |
Quadratic twists by: -3 -7 |