Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480k |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-29218389984000 = -1 · 28 · 310 · 53 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,860,-259600] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1620:1] |
Generators of the group modulo torsion |
j |
274456808624/114134335875 |
j-invariant |
L |
7.5613447482346 |
L(r)(E,1)/r! |
Ω |
0.3105640376897 |
Real period |
R |
0.81157118775281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960f2 118440cf2 |
Quadratic twists by: -4 -3 |