Atkin-Lehner |
2- 3+ 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270x |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
372480 |
Modular degree for the optimal curve |
Δ |
-10269759023437500 = -1 · 22 · 39 · 510 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48737,6409261] |
[a1,a2,a3,a4,a6] |
Generators |
[-802:26047:8] |
Generators of the group modulo torsion |
j |
-650429819689707/521757812500 |
j-invariant |
L |
11.12999444709 |
L(r)(E,1)/r! |
Ω |
0.37307997233452 |
Real period |
R |
1.4916365487578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63270a1 |
Quadratic twists by: -3 |