Cremona's table of elliptic curves

Curve 560d2

560 = 24 · 5 · 7



Data for elliptic curve 560d2

Field Data Notes
Atkin-Lehner 2- 5+ 7- Signs for the Atkin-Lehner involutions
Class 560d Isogeny class
Conductor 560 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 501760000 = 214 · 54 · 72 Discriminant
Eigenvalues 2-  0 5+ 7- -4 -6  2  0 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-283,1482] [a1,a2,a3,a4,a6]
Generators [-3:48:1] Generators of the group modulo torsion
j 611960049/122500 j-invariant
L 1.9245473164105 L(r)(E,1)/r!
Ω 1.5673707144402 Real period
R 1.2278826564 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 70a2 2240y2 5040bn2 2800o2 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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