Cremona's table of elliptic curves

Curve 16280d1

16280 = 23 · 5 · 11 · 37



Data for elliptic curve 16280d1

Field Data Notes
Atkin-Lehner 2+ 5+ 11- 37- Signs for the Atkin-Lehner involutions
Class 16280d Isogeny class
Conductor 16280 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 3328 Modular degree for the optimal curve
Δ 5730560 = 28 · 5 · 112 · 37 Discriminant
Eigenvalues 2+  2 5+  4 11- -2 -2  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-76,-204] [a1,a2,a3,a4,a6]
Generators [426:1288:27] Generators of the group modulo torsion
j 192143824/22385 j-invariant
L 7.3534991193504 L(r)(E,1)/r!
Ω 1.6274560181002 Real period
R 4.5184011350024 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 32560c1 81400o1 Quadratic twists by: -4 5


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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