Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760s |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
1485993600000 = 210 · 36 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121707,-16342506] |
[a1,a2,a3,a4,a6] |
j |
267080942160036/1990625 |
j-invariant |
L |
2.5560589138394 |
L(r)(E,1)/r! |
Ω |
0.25560589138378 |
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 |
65520bq1 3640h1 |
Quadratic twists by: -4 -3 |