Cremona's table of elliptic curves

Curve 46784s2

46784 = 26 · 17 · 43



Data for elliptic curve 46784s2

Field Data Notes
Atkin-Lehner 2- 17+ 43+ Signs for the Atkin-Lehner involutions
Class 46784s Isogeny class
Conductor 46784 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 13030653952 = 220 · 172 · 43 Discriminant
Eigenvalues 2-  0 -4  0 -2 -2 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-58732,5478480] [a1,a2,a3,a4,a6]
Generators [-166:3264:1] [90:960:1] Generators of the group modulo torsion
j 85468909049649/49708 j-invariant
L 6.9736917498092 L(r)(E,1)/r!
Ω 1.0379383088764 Real period
R 3.3593960691929 Regulator
r 2 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 46784f2 11696j2 Quadratic twists by: -4 8


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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