Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770a |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-208639800000000 = -1 · 29 · 39 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12540,-439984] |
[a1,a2,a3,a4,a6] |
j |
11079127187757/10600000000 |
j-invariant |
L |
1.2289078512357 |
L(r)(E,1)/r! |
Ω |
0.30722696280892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38160r1 4770u1 23850bt1 |
Quadratic twists by: -4 -3 5 |