Atkin-Lehner |
2- 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630z |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
8335156838400 = 220 · 32 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165946,-26032924] |
[a1,a2,a3,a4,a6] |
j |
505387203505322912929/8335156838400 |
j-invariant |
L |
4.7308400997556 |
L(r)(E,1)/r! |
Ω |
0.23654200498778 |
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 |
64890bi1 108150l1 |
Quadratic twists by: -3 5 |