Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120p |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
38502512832000 = 29 · 3 · 53 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8720,-92568] |
[a1,a2,a3,a4,a6] |
Generators |
[109:490:1] |
Generators of the group modulo torsion |
j |
143236272090248/75200220375 |
j-invariant |
L |
6.3227039143959 |
L(r)(E,1)/r! |
Ω |
0.52377802252359 |
Real period |
R |
2.0118904199735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120cg3 114240dm4 |
Quadratic twists by: -4 8 |