Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045k |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
196224 |
Modular degree for the optimal curve |
Δ |
-57950023806675 = -1 · 39 · 52 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17307,-949813] |
[a1,a2,a3,a4,a6] |
j |
-29127137144832/2944166225 |
j-invariant |
L |
5.794182887916 |
L(r)(E,1)/r! |
Ω |
0.20693510313927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45045e1 |
Quadratic twists by: -3 |