Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150i |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50963062500000000 = 28 · 32 · 512 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15050000,22466304000] |
[a1,a2,a3,a4,a6] |
j |
24127550372072534688001/3261636000000 |
j-invariant |
L |
1.1088883201311 |
L(r)(E,1)/r! |
Ω |
0.27722208006531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030bc2 |
Quadratic twists by: 5 |