Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200m |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-274400000000000 = -1 · 214 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 5 -5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41200,3316000] |
[a1,a2,a3,a4,a6] |
Generators |
[145:625:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
2.7306182426044 |
L(r)(E,1)/r! |
Ω |
0.54671713864175 |
Real period |
R |
1.2486430594568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200cs1 1400i1 100800eg1 2240d1 |
Quadratic twists by: -4 8 -3 5 |