Cremona's table of elliptic curves

Curve 14161b4

14161 = 72 · 172



Data for elliptic curve 14161b4

Field Data Notes
Atkin-Lehner 7- 17+ Signs for the Atkin-Lehner involutions
Class 14161b Isogeny class
Conductor 14161 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -237179666393924401 = -1 · 76 · 1710 Discriminant
Eigenvalues -1  0 -2 7-  0  2 17+  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-9736,23436676] [a1,a2,a3,a4,a6]
j -35937/83521 j-invariant
L 0.50340298455689 L(r)(E,1)/r!
Ω 0.25170149227844 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 127449bh3 289a4 833a4 Quadratic twists by: -3 -7 17


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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