Cremona's table of elliptic curves

Curve 27030b2

27030 = 2 · 3 · 5 · 17 · 53



Data for elliptic curve 27030b2

Field Data Notes
Atkin-Lehner 2+ 3+ 5- 17- 53- Signs for the Atkin-Lehner involutions
Class 27030b Isogeny class
Conductor 27030 Conductor
∏ cp 320 Product of Tamagawa factors cp
Δ -742322250351562500 = -1 · 22 · 34 · 510 · 174 · 532 Discriminant
Eigenvalues 2+ 3+ 5- -2 -4 -2 17- -6 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-995472,384115284] [a1,a2,a3,a4,a6]
Generators [1503:47061:1] [-792:26406:1] Generators of the group modulo torsion
j -109096681575434132127241/742322250351562500 j-invariant
L 5.1888892157131 L(r)(E,1)/r!
Ω 0.28621496371428 Real period
R 0.22661678605027 Regulator
r 2 Rank of the group of rational points
S 0.99999999999984 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 81090bc2 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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