Cremona's table of elliptic curves

Curve 26220k2

26220 = 22 · 3 · 5 · 19 · 23



Data for elliptic curve 26220k2

Field Data Notes
Atkin-Lehner 2- 3- 5- 19- 23+ Signs for the Atkin-Lehner involutions
Class 26220k Isogeny class
Conductor 26220 Conductor
∏ cp 3 Product of Tamagawa factors cp
Δ -20028828720 = -1 · 24 · 3 · 5 · 193 · 233 Discriminant
Eigenvalues 2- 3- 5- -1 -3 -1  6 19- Hecke eigenvalues for primes up to 20
Equation [0,1,0,535,-4692] [a1,a2,a3,a4,a6]
Generators [12:60:1] Generators of the group modulo torsion
j 1056459997184/1251801795 j-invariant
L 6.6810343797083 L(r)(E,1)/r!
Ω 0.65351454632262 Real period
R 3.4077458144342 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 104880by2 78660m2 Quadratic twists by: -4 -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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