Cremona's table of elliptic curves

Curve 80850ck4

80850 = 2 · 3 · 52 · 72 · 11



Data for elliptic curve 80850ck4

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 11- Signs for the Atkin-Lehner involutions
Class 80850ck Isogeny class
Conductor 80850 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 91011255337406250 = 2 · 38 · 56 · 79 · 11 Discriminant
Eigenvalues 2+ 3- 5+ 7- 11- -2 -2  0 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-49302601,-133249700902] [a1,a2,a3,a4,a6]
j 7209828390823479793/49509306 j-invariant
L 1.8231905438102 L(r)(E,1)/r!
Ω 0.056974706686274 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 3234r3 11550i4 Quadratic twists by: 5 -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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