Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bl |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1507691241000 = -1 · 23 · 32 · 53 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 5 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26566,-1678741] |
[a1,a2,a3,a4,a6] |
j |
-42316248492360241/30769209000 |
j-invariant |
L |
4.4872496745351 |
L(r)(E,1)/r! |
Ω |
0.18696873656732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210co1 |
Quadratic twists by: -7 |