Cremona's table of elliptic curves

Curve 50568l2

50568 = 23 · 3 · 72 · 43



Data for elliptic curve 50568l2

Field Data Notes
Atkin-Lehner 2- 3+ 7- 43+ Signs for the Atkin-Lehner involutions
Class 50568l Isogeny class
Conductor 50568 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -171910239766272 = -1 · 28 · 32 · 79 · 432 Discriminant
Eigenvalues 2- 3+  2 7- -4  4  0  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,11548,-415932] [a1,a2,a3,a4,a6]
Generators [76:946:1] Generators of the group modulo torsion
j 16484816/16641 j-invariant
L 5.6932724807576 L(r)(E,1)/r!
Ω 0.31086015609492 Real period
R 2.2893222117434 Regulator
r 1 Rank of the group of rational points
S 1.0000000000008 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 101136t2 50568u2 Quadratic twists by: -4 -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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