Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120bo |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3495744000000 = -1 · 212 · 33 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1825,-94223] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1615:1] |
Generators of the group modulo torsion |
j |
-164206490176/853453125 |
j-invariant |
L |
4.7656892607958 |
L(r)(E,1)/r! |
Ω |
0.32907164283129 |
Real period |
R |
2.4137040087556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120ci2 114240ia1 |
Quadratic twists by: -4 8 |