Atkin-Lehner |
2- 3+ 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270x |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
21947707404168750 = 2 · 39 · 55 · 194 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-892487,324671761] |
[a1,a2,a3,a4,a6] |
Generators |
[7198:122747:8] |
Generators of the group modulo torsion |
j |
3994272222340189707/1115059056250 |
j-invariant |
L |
11.12999444709 |
L(r)(E,1)/r! |
Ω |
0.37307997233452 |
Real period |
R |
2.9832730975156 |
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 |
63270a2 |
Quadratic twists by: -3 |