Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450bo |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6357677343750000 = -1 · 24 · 37 · 511 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25645,-3501853] |
[a1,a2,a3,a4,a6] |
Generators |
[249:4150:1] |
Generators of the group modulo torsion |
j |
163757102111/558150000 |
j-invariant |
L |
8.2889689456011 |
L(r)(E,1)/r! |
Ω |
0.21579527841578 |
Real period |
R |
2.4007038657348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150i1 5490j1 |
Quadratic twists by: -3 5 |