Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240l |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
307465999488000 = 210 · 32 · 53 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6936320,-7033712400] |
[a1,a2,a3,a4,a6] |
Generators |
[6263213:-338152836:1331] |
Generators of the group modulo torsion |
j |
36042190690118697630724/300259765125 |
j-invariant |
L |
10.660062142868 |
L(r)(E,1)/r! |
Ω |
0.093028767994177 |
Real period |
R |
9.5490731639396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480e4 |
Quadratic twists by: -4 |