Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450cd |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-546435072000 = -1 · 215 · 37 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -5 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9860,380967] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:765:1] [59:15:1] |
Generators of the group modulo torsion |
j |
-1163256858413/5996544 |
j-invariant |
L |
10.524282534661 |
L(r)(E,1)/r! |
Ω |
0.92842102261719 |
Real period |
R |
0.094463990279196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150f1 27450z1 |
Quadratic twists by: -3 5 |