Cremona's table of elliptic curves

Curve 52528bu2

52528 = 24 · 72 · 67



Data for elliptic curve 52528bu2

Field Data Notes
Atkin-Lehner 2- 7- 67- Signs for the Atkin-Lehner involutions
Class 52528bu Isogeny class
Conductor 52528 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 3623791887908864 = 219 · 73 · 674 Discriminant
Eigenvalues 2- -2 -2 7-  4  2  4  6 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-65984,5823796] [a1,a2,a3,a4,a6]
j 22614768361639/2579343488 j-invariant
L 1.7169166394118 L(r)(E,1)/r!
Ω 0.42922915969689 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 6566l2 52528br2 Quadratic twists by: -4 -7


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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