Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630j |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2094836446584000000 = -1 · 29 · 32 · 56 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,149954,-65889157] |
[a1,a2,a3,a4,a6] |
j |
372904561710330384671/2094836446584000000 |
j-invariant |
L |
2.3561277207354 |
L(r)(E,1)/r! |
Ω |
0.1308959844853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890ba2 108150bo2 |
Quadratic twists by: -3 5 |