Cremona's table of elliptic curves

Curve 16926w1

16926 = 2 · 3 · 7 · 13 · 31



Data for elliptic curve 16926w1

Field Data Notes
Atkin-Lehner 2+ 3- 7- 13- 31- Signs for the Atkin-Lehner involutions
Class 16926w Isogeny class
Conductor 16926 Conductor
∏ cp 72 Product of Tamagawa factors cp
deg 82944 Modular degree for the optimal curve
Δ 56831486372388 = 22 · 318 · 7 · 132 · 31 Discriminant
Eigenvalues 2+ 3-  0 7-  0 13- -6  2 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-170591,27102782] [a1,a2,a3,a4,a6]
Generators [245:48:1] Generators of the group modulo torsion
j 549020293456811163625/56831486372388 j-invariant
L 4.6091907781553 L(r)(E,1)/r!
Ω 0.6013310661867 Real period
R 3.8324901517097 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 6 Number of elements in the torsion subgroup
Twists 50778by1 118482e1 Quadratic twists by: -3 -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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