Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630j |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
17528140234752000 = 218 · 3 · 53 · 75 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113726,-13364101] |
[a1,a2,a3,a4,a6] |
j |
162668418243915534049/17528140234752000 |
j-invariant |
L |
2.3561277207354 |
L(r)(E,1)/r! |
Ω |
0.2617919689706 |
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 |
64890ba1 108150bo1 |
Quadratic twists by: -3 5 |