Cremona's table of elliptic curves

Curve 12138ba3

12138 = 2 · 3 · 7 · 172



Data for elliptic curve 12138ba3

Field Data Notes
Atkin-Lehner 2- 3- 7- 17+ Signs for the Atkin-Lehner involutions
Class 12138ba Isogeny class
Conductor 12138 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 348508897558419528 = 23 · 32 · 74 · 1710 Discriminant
Eigenvalues 2- 3-  2 7-  0 -6 17+  0 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-196237,-17702647] [a1,a2,a3,a4,a6]
j 34623662831857/14438442312 j-invariant
L 5.6490592167868 L(r)(E,1)/r!
Ω 0.23537746736611 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 97104bi3 36414bh3 84966cw3 714f3 Quadratic twists by: -4 -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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