Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510b |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
10042293356282880 = 210 · 39 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102615,11723165] |
[a1,a2,a3,a4,a6] |
j |
51603494067/4336640 |
j-invariant |
L |
1.5908153707886 |
L(r)(E,1)/r! |
Ω |
0.39770384279038 |
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 |
48510ch1 6930c1 |
Quadratic twists by: -3 -7 |