Atkin-Lehner |
2+ 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630p |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19365174400616100 = 22 · 318 · 52 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78435,-5143775] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1079:1] |
Generators of the group modulo torsion |
j |
73203020458490161/26564025240900 |
j-invariant |
L |
4.8291473254878 |
L(r)(E,1)/r! |
Ω |
0.29392109509802 |
Real period |
R |
4.1075201866241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998523 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21210z2 |
Quadratic twists by: -3 |