Cremona's table of elliptic curves

Curve 28560co1

28560 = 24 · 3 · 5 · 7 · 17



Data for elliptic curve 28560co1

Field Data Notes
Atkin-Lehner 2- 3+ 5- 7+ 17+ Signs for the Atkin-Lehner involutions
Class 28560co Isogeny class
Conductor 28560 Conductor
∏ cp 48 Product of Tamagawa factors cp
deg 1290240 Modular degree for the optimal curve
Δ -3.042427142914E+21 Discriminant
Eigenvalues 2- 3+ 5- 7+  0  4 17+ -2 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,1855000,2468594352] [a1,a2,a3,a4,a6]
Generators [-716:27800:1] Generators of the group modulo torsion
j 172343644217341694999/742780064187984375 j-invariant
L 5.0261683191681 L(r)(E,1)/r!
Ω 0.10179593305684 Real period
R 4.1145785234545 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 1785n1 114240id1 85680dx1 Quadratic twists by: -4 8 -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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