Cremona's table of elliptic curves

Curve 28028b1

28028 = 22 · 72 · 11 · 13



Data for elliptic curve 28028b1

Field Data Notes
Atkin-Lehner 2- 7+ 11- 13- Signs for the Atkin-Lehner involutions
Class 28028b Isogeny class
Conductor 28028 Conductor
∏ cp 5 Product of Tamagawa factors cp
deg 29160 Modular degree for the optimal curve
Δ -80430157808 = -1 · 24 · 74 · 115 · 13 Discriminant
Eigenvalues 2-  3  0 7+ 11- 13- -2  0 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1225,21413] [a1,a2,a3,a4,a6]
j -5292000000/2093663 j-invariant
L 5.0860412587479 L(r)(E,1)/r!
Ω 1.0172082517496 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 112112x1 28028j1 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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