Cremona's table of elliptic curves

Curve 84420f2

84420 = 22 · 32 · 5 · 7 · 67



Data for elliptic curve 84420f2

Field Data Notes
Atkin-Lehner 2- 3+ 5- 7+ 67- Signs for the Atkin-Lehner involutions
Class 84420f Isogeny class
Conductor 84420 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -6461928900000000 = -1 · 28 · 39 · 58 · 72 · 67 Discriminant
Eigenvalues 2- 3+ 5- 7+  2  4 -2  6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-29727,4341654] [a1,a2,a3,a4,a6]
j -576561586032/1282421875 j-invariant
L 3.0013472947377 L(r)(E,1)/r!
Ω 0.37516841380882 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 84420b2 Quadratic twists by: -3


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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