Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530k |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
225665273460000 = 25 · 3 · 54 · 113 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-682348,216890378] |
[a1,a2,a3,a4,a6] |
j |
35135049201404288637241/225665273460000 |
j-invariant |
L |
2.9921946686432 |
L(r)(E,1)/r! |
Ω |
0.49869911144053 |
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 |
108240y4 40590bh4 67650bz4 |
Quadratic twists by: -4 -3 5 |