Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450cf |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
1457160192000000000 = 224 · 36 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1537430,731820197] |
[a1,a2,a3,a4,a6] |
j |
282261687531173/1023410176 |
j-invariant |
L |
6.4877741961406 |
L(r)(E,1)/r! |
Ω |
0.27032392483922 |
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 |
3050c1 27450bb1 |
Quadratic twists by: -3 5 |