Cremona's table of elliptic curves

Curve 5550bc2

5550 = 2 · 3 · 52 · 37



Data for elliptic curve 5550bc2

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 37- Signs for the Atkin-Lehner involutions
Class 5550bc Isogeny class
Conductor 5550 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 8.7714931640625E+19 Discriminant
Eigenvalues 2- 3+ 5+ -4  4 -2  2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-4886463,4131047781] [a1,a2,a3,a4,a6]
Generators [871:22730:1] Generators of the group modulo torsion
j 825824067562227826729/5613755625000000 j-invariant
L 4.5606937348316 L(r)(E,1)/r!
Ω 0.1922963029708 Real period
R 3.9528353417557 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 44400cv2 16650bd2 1110f2 Quadratic twists by: -4 -3 5


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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