Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420bb |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1788389198955255600 = -1 · 24 · 38 · 52 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51465,64480788] |
[a1,a2,a3,a4,a6] |
j |
-399589376/47403225 |
j-invariant |
L |
3.4724784596471 |
L(r)(E,1)/r! |
Ω |
0.217030027151 |
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 |
123420bc1 |
Quadratic twists by: -11 |