Cremona's table of elliptic curves

Curve 17787h2

17787 = 3 · 72 · 112



Data for elliptic curve 17787h2

Field Data Notes
Atkin-Lehner 3+ 7- 11- Signs for the Atkin-Lehner involutions
Class 17787h Isogeny class
Conductor 17787 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 827228426573241 = 34 · 78 · 116 Discriminant
Eigenvalues  1 3+  2 7- 11- -2 -6  4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-23839,-313760] [a1,a2,a3,a4,a6]
Generators [54060:12542450:1] Generators of the group modulo torsion
j 7189057/3969 j-invariant
L 5.3921810789408 L(r)(E,1)/r!
Ω 0.41127497318317 Real period
R 6.5554451772334 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 53361bo2 2541l2 147a2 Quadratic twists by: -3 -7 -11


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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