Cremona's table of elliptic curves

Curve 80850gw2

80850 = 2 · 3 · 52 · 72 · 11



Data for elliptic curve 80850gw2

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- 11- Signs for the Atkin-Lehner involutions
Class 80850gw Isogeny class
Conductor 80850 Conductor
∏ cp 960 Product of Tamagawa factors cp
Δ 615240990787500000 = 25 · 34 · 58 · 73 · 116 Discriminant
Eigenvalues 2- 3- 5+ 7- 11- -6  0 -8 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-2443463,1469445417] [a1,a2,a3,a4,a6]
Generators [1672:-46211:1] Generators of the group modulo torsion
j 301041853035359743/114797152800 j-invariant
L 12.023846615907 L(r)(E,1)/r!
Ω 0.28404184411932 Real period
R 0.17638021280285 Regulator
r 1 Rank of the group of rational points
S 0.99999999977909 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 16170j2 80850es2 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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