Cremona's table of elliptic curves

Curve 16695k2

16695 = 32 · 5 · 7 · 53



Data for elliptic curve 16695k2

Field Data Notes
Atkin-Lehner 3- 5+ 7- 53+ Signs for the Atkin-Lehner involutions
Class 16695k Isogeny class
Conductor 16695 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 17285182597265625 = 38 · 58 · 74 · 532 Discriminant
Eigenvalues  1 3- 5+ 7- -4 -2  6 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-96615,9698656] [a1,a2,a3,a4,a6]
Generators [-100:4334:1] Generators of the group modulo torsion
j 136814581691933041/23710812890625 j-invariant
L 5.0351855485406 L(r)(E,1)/r!
Ω 0.37129836646179 Real period
R 3.39025565647 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 5565c2 83475u2 116865bd2 Quadratic twists by: -3 5 -7


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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