Cremona's table of elliptic curves

Curve 6726c2

6726 = 2 · 3 · 19 · 59



Data for elliptic curve 6726c2

Field Data Notes
Atkin-Lehner 2+ 3- 19+ 59- Signs for the Atkin-Lehner involutions
Class 6726c Isogeny class
Conductor 6726 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 104230831104 = 210 · 34 · 192 · 592 Discriminant
Eigenvalues 2+ 3- -2  0  0  2  2 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,1,-5672,163190] [a1,a2,a3,a4,a6]
Generators [9:331:1] Generators of the group modulo torsion
j 20175407128473337/104230831104 j-invariant
L 3.2471985663839 L(r)(E,1)/r!
Ω 1.0658669086471 Real period
R 1.5232664322535 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 53808m2 20178m2 127794bb2 Quadratic twists by: -4 -3 -19


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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