Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ci |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
506135274257812500 = 22 · 316 · 510 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245963,32035781] |
[a1,a2,a3,a4,a6] |
Generators |
[468135:8373068:729] |
Generators of the group modulo torsion |
j |
105320555456854249/32392657552500 |
j-invariant |
L |
8.1208629734295 |
L(r)(E,1)/r! |
Ω |
0.27225289920265 |
Real period |
R |
7.4570950366471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030h4 |
Quadratic twists by: 5 |