Atkin-Lehner |
2- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040i |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-67427376435200 = -1 · 212 · 52 · 23 · 315 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 6 -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28536,-1906540] |
[a1,a2,a3,a4,a6] |
Generators |
[160062:4234985:216] |
Generators of the group modulo torsion |
j |
-627419875521529/16461761825 |
j-invariant |
L |
6.9767025179491 |
L(r)(E,1)/r! |
Ω |
0.18337807729573 |
Real period |
R |
9.5113639276533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3565a1 |
Quadratic twists by: -4 |