Cremona's table of elliptic curves

Curve 16562bi1

16562 = 2 · 72 · 132



Data for elliptic curve 16562bi1

Field Data Notes
Atkin-Lehner 2- 7- 13+ Signs for the Atkin-Lehner involutions
Class 16562bi Isogeny class
Conductor 16562 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 524160 Modular degree for the optimal curve
Δ 1.5576644724724E+20 Discriminant
Eigenvalues 2- -1  1 7- -5 13+  2 -1 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-1428645,-267831257] [a1,a2,a3,a4,a6]
Generators [-1757344028927:15319660677850:1672446203] Generators of the group modulo torsion
j 8281/4 j-invariant
L 6.1119300360731 L(r)(E,1)/r!
Ω 0.14492238789878 Real period
R 21.086907705184 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 16562ba1 16562j1 Quadratic twists by: -7 13


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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