Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330p |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2.596461766676E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-339879150,2411849487060] |
[a1,a2,a3,a4,a6] |
Generators |
[-232908:58662110:27] |
Generators of the group modulo torsion |
j |
-1033202467754104941601/6178315520 |
j-invariant |
L |
4.0000454692312 |
L(r)(E,1)/r! |
Ω |
0.14461901853847 |
Real period |
R |
6.9147984645264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997665 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6370s2 57330cc2 |
Quadratic twists by: -3 -7 |