Cremona's table of elliptic curves

Curve 16353b1

16353 = 32 · 23 · 79



Data for elliptic curve 16353b1

Field Data Notes
Atkin-Lehner 3- 23+ 79- Signs for the Atkin-Lehner involutions
Class 16353b Isogeny class
Conductor 16353 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 11520 Modular degree for the optimal curve
Δ -321876099 = -1 · 311 · 23 · 79 Discriminant
Eigenvalues  2 3-  3  0  1 -6  8 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,1,159,-387] [a1,a2,a3,a4,a6]
Generators [34:149:8] Generators of the group modulo torsion
j 609800192/441531 j-invariant
L 11.419484660923 L(r)(E,1)/r!
Ω 0.96439794516766 Real period
R 2.9602625965098 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 5451b1 Quadratic twists by: -3


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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