Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480y |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4545082886400 = 28 · 38 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35540,-2564988] |
[a1,a2,a3,a4,a6] |
Generators |
[232:1274:1] |
Generators of the group modulo torsion |
j |
19393144661136976/17754230025 |
j-invariant |
L |
5.5511710609419 |
L(r)(E,1)/r! |
Ω |
0.34773071205558 |
Real period |
R |
3.990998543185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960v2 118440u2 |
Quadratic twists by: -4 -3 |