Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210ck |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-6327457935892143750 = -1 · 2 · 35 · 55 · 713 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54391,-121127329] |
[a1,a2,a3,a4,a6] |
Generators |
[1557448:84684871:512] |
Generators of the group modulo torsion |
j |
-151257563987041/53782505043750 |
j-invariant |
L |
11.974411336081 |
L(r)(E,1)/r! |
Ω |
0.10670960898201 |
Real period |
R |
5.6107465157953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030q1 |
Quadratic twists by: -7 |