Cremona's table of elliptic curves

Curve 61248d2

61248 = 26 · 3 · 11 · 29



Data for elliptic curve 61248d2

Field Data Notes
Atkin-Lehner 2+ 3+ 11+ 29+ Signs for the Atkin-Lehner involutions
Class 61248d Isogeny class
Conductor 61248 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 335290171392 = 217 · 36 · 112 · 29 Discriminant
Eigenvalues 2+ 3+ -4  0 11+ -4 -2  8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-5345,149601] [a1,a2,a3,a4,a6]
Generators [-7:432:1] Generators of the group modulo torsion
j 128865945458/2558061 j-invariant
L 2.8852627624565 L(r)(E,1)/r!
Ω 0.96198596655184 Real period
R 0.74981934843303 Regulator
r 1 Rank of the group of rational points
S 0.9999999999619 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 61248ci2 7656d2 Quadratic twists by: -4 8


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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