Cremona's table of elliptic curves

Curve 17472bh5

17472 = 26 · 3 · 7 · 13



Data for elliptic curve 17472bh5

Field Data Notes
Atkin-Lehner 2+ 3- 7- 13+ Signs for the Atkin-Lehner involutions
Class 17472bh Isogeny class
Conductor 17472 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ 8695185408 = 217 · 36 · 7 · 13 Discriminant
Eigenvalues 2+ 3-  2 7-  4 13+ -6 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-11321857,-14666834593] [a1,a2,a3,a4,a6]
Generators [5282:270045:1] Generators of the group modulo torsion
j 1224522642327678150914/66339 j-invariant
L 7.3288146113922 L(r)(E,1)/r!
Ω 0.082303846987422 Real period
R 7.4204860805921 Regulator
r 1 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 17472br5 2184j5 52416cp6 122304cc6 Quadratic twists by: -4 8 -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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