Cremona's table of elliptic curves

Curve 81600dt2

81600 = 26 · 3 · 52 · 17



Data for elliptic curve 81600dt2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 17- Signs for the Atkin-Lehner involutions
Class 81600dt Isogeny class
Conductor 81600 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 7833600000000 = 217 · 32 · 58 · 17 Discriminant
Eigenvalues 2+ 3- 5+  2  0  0 17- -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-72033,7416063] [a1,a2,a3,a4,a6]
Generators [18:2475:1] Generators of the group modulo torsion
j 20183398562/3825 j-invariant
L 9.0297980754787 L(r)(E,1)/r!
Ω 0.71791814534844 Real period
R 3.1444385866106 Regulator
r 1 Rank of the group of rational points
S 1.0000000002694 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 81600gn2 10200g2 16320c2 Quadratic twists by: -4 8 5


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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