Cremona's table of elliptic curves

Curve 27840i4

27840 = 26 · 3 · 5 · 29



Data for elliptic curve 27840i4

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 29+ Signs for the Atkin-Lehner involutions
Class 27840i Isogeny class
Conductor 27840 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 342097920 = 218 · 32 · 5 · 29 Discriminant
Eigenvalues 2+ 3+ 5+ -4  0 -6  2 -8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-445441,-114279935] [a1,a2,a3,a4,a6]
Generators [771:68:1] Generators of the group modulo torsion
j 37286818682653441/1305 j-invariant
L 2.3504977289901 L(r)(E,1)/r!
Ω 0.18479998272569 Real period
R 6.3595723720361 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 27840dk4 435d3 83520dg4 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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