Cremona's table of elliptic curves

Curve 27600b4

27600 = 24 · 3 · 52 · 23



Data for elliptic curve 27600b4

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 23+ Signs for the Atkin-Lehner involutions
Class 27600b Isogeny class
Conductor 27600 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 37260000000000 = 211 · 34 · 510 · 23 Discriminant
Eigenvalues 2+ 3+ 5+  0 -4 -2 -2  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-26408,-1616688] [a1,a2,a3,a4,a6]
Generators [-94:162:1] Generators of the group modulo torsion
j 63649751618/1164375 j-invariant
L 3.7641574470246 L(r)(E,1)/r!
Ω 0.37492690748038 Real period
R 2.5099275164863 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 13800m3 110400hq4 82800bg4 5520g3 Quadratic twists by: -4 8 -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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