Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2220a |
Isogeny class |
Conductor |
2220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
-11508480 = -1 · 28 · 35 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341,-2319] |
[a1,a2,a3,a4,a6] |
j |
-17179869184/44955 |
j-invariant |
L |
1.6658199738743 |
L(r)(E,1)/r! |
Ω |
0.55527332462476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8880v1 35520bk1 6660b1 11100j1 |
Quadratic twists by: -4 8 -3 5 |