Cremona's table of elliptic curves

Curve 13266j2

13266 = 2 · 32 · 11 · 67



Data for elliptic curve 13266j2

Field Data Notes
Atkin-Lehner 2+ 3- 11- 67+ Signs for the Atkin-Lehner involutions
Class 13266j Isogeny class
Conductor 13266 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -3167761608 = -1 · 23 · 36 · 112 · 672 Discriminant
Eigenvalues 2+ 3- -4  4 11- -2  2  8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,246,2204] [a1,a2,a3,a4,a6]
Generators [1:49:1] Generators of the group modulo torsion
j 2253243231/4345352 j-invariant
L 3.08176356505 L(r)(E,1)/r!
Ω 0.97796081821006 Real period
R 0.78780343436726 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 106128bq2 1474a2 Quadratic twists by: -4 -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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