Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bw |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-295765764940800 = -1 · 210 · 311 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11440,955900] |
[a1,a2,a3,a4,a6] |
j |
-3300226225156/5894566425 |
j-invariant |
L |
1.9537546394862 |
L(r)(E,1)/r! |
Ω |
0.48843865950257 |
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 |
129360dj1 64680ck1 |
Quadratic twists by: -4 -7 |