Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150bu |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-1020368712903750000 = -1 · 24 · 318 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4592588,3786610781] |
[a1,a2,a3,a4,a6] |
j |
-685608435156667567609/65303597625840 |
j-invariant |
L |
4.2456870683052 |
L(r)(E,1)/r! |
Ω |
0.26535544177964 |
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 |
9030k1 |
Quadratic twists by: 5 |