Cremona's table of elliptic curves

Curve 27531c3

27531 = 32 · 7 · 19 · 23



Data for elliptic curve 27531c3

Field Data Notes
Atkin-Lehner 3- 7+ 19- 23+ Signs for the Atkin-Lehner involutions
Class 27531c Isogeny class
Conductor 27531 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 1993343810559129 = 36 · 7 · 198 · 23 Discriminant
Eigenvalues  1 3- -2 7+ -4 -2  2 19- Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-32163,569240] [a1,a2,a3,a4,a6]
Generators [1390:2915:8] Generators of the group modulo torsion
j 5047466339151153/2734353649601 j-invariant
L 3.9665430541094 L(r)(E,1)/r!
Ω 0.40675395538032 Real period
R 2.4379253118759 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 3059a4 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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