Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560j |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-420526080 = -1 · 211 · 35 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 1 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,1312] |
[a1,a2,a3,a4,a6] |
j |
-1316978/1215 |
j-invariant |
L |
3.0651813771452 |
L(r)(E,1)/r! |
Ω |
1.5325906885359 |
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 |
20280bd1 121680r1 40560c1 |
Quadratic twists by: -4 -3 13 |