Atkin-Lehner |
2- 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470y |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
47312100 = 22 · 36 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-320,2045] |
[a1,a2,a3,a4,a6] |
j |
3624586490881/47312100 |
j-invariant |
L |
4.0405134276965 |
L(r)(E,1)/r! |
Ω |
2.0202567138482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410g1 97350ba1 |
Quadratic twists by: -3 5 |