Cremona's table of elliptic curves

Curve 44100cp4

44100 = 22 · 32 · 52 · 72



Data for elliptic curve 44100cp4

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- Signs for the Atkin-Lehner involutions
Class 44100cp Isogeny class
Conductor 44100 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -4.540634266288E+22 Discriminant
Eigenvalues 2- 3- 5+ 7- -6 -4 -6 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,3568425,-9918445250] [a1,a2,a3,a4,a6]
Generators [2366:108486:1] [10010:1014300:1] Generators of the group modulo torsion
j 14647977776/132355125 j-invariant
L 8.8251697134974 L(r)(E,1)/r!
Ω 0.05621578394136 Real period
R 19.62342489679 Regulator
r 2 Rank of the group of rational points
S 0.99999999999977 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 14700bk4 8820s4 6300k4 Quadratic twists by: -3 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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