Cremona's table of elliptic curves

Curve 17157f3

17157 = 3 · 7 · 19 · 43



Data for elliptic curve 17157f3

Field Data Notes
Atkin-Lehner 3- 7+ 19+ 43- Signs for the Atkin-Lehner involutions
Class 17157f Isogeny class
Conductor 17157 Conductor
∏ cp 40 Product of Tamagawa factors cp
Δ 139586439925233 = 320 · 72 · 19 · 43 Discriminant
Eigenvalues  1 3-  2 7+  4 -2 -6 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,1,-214740,38279413] [a1,a2,a3,a4,a6]
Generators [-277:8886:1] Generators of the group modulo torsion
j 1095114807346147052473/139586439925233 j-invariant
L 7.8751455552856 L(r)(E,1)/r!
Ω 0.56036140639987 Real period
R 1.4053690110246 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 51471e4 120099k4 Quadratic twists by: -3 -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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