Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200v |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-7622304186112000000 = -1 · 214 · 56 · 75 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,382767,96496337] |
[a1,a2,a3,a4,a6] |
j |
24226243449392/29774625727 |
j-invariant |
L |
1.8848449640302 |
L(r)(E,1)/r! |
Ω |
0.15707037395671 |
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 |
123200fv1 15400m1 4928r1 |
Quadratic twists by: -4 8 5 |