Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220o |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
3728388305250000 = 24 · 39 · 56 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45408,-2289107] |
[a1,a2,a3,a4,a6] |
Generators |
[1319:47250:1] |
Generators of the group modulo torsion |
j |
887714517876736/319649203125 |
j-invariant |
L |
6.6024417908351 |
L(r)(E,1)/r! |
Ω |
0.33684485891347 |
Real period |
R |
1.6334032360172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740v1 |
Quadratic twists by: -3 |