Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cf |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-17125230366720 = -1 · 212 · 310 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5439,-123921] |
[a1,a2,a3,a4,a6] |
Generators |
[57:612:1] |
Generators of the group modulo torsion |
j |
4343512642496/4180964445 |
j-invariant |
L |
6.2912212057668 |
L(r)(E,1)/r! |
Ω |
0.37819738940847 |
Real period |
R |
0.83173778851728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bk2 114240hz1 |
Quadratic twists by: -4 8 |