Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-216832000000 = -1 · 214 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,-28337] |
[a1,a2,a3,a4,a6] |
j |
-810448/847 |
j-invariant |
L |
1.5468281049437 |
L(r)(E,1)/r! |
Ω |
0.38670701121075 |
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 |
123200fq1 15400l1 4928p1 |
Quadratic twists by: -4 8 5 |