Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560w |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5090159699040000 = -1 · 28 · 3 · 54 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16844,3333500] |
[a1,a2,a3,a4,a6] |
Generators |
[605034:-14531275:5832] |
Generators of the group modulo torsion |
j |
194672/1875 |
j-invariant |
L |
6.1988935669859 |
L(r)(E,1)/r! |
Ω |
0.31651947704917 |
Real period |
R |
9.7922782268785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280q2 121680ca2 40560bd2 |
Quadratic twists by: -4 -3 13 |