Cremona's table of elliptic curves

Curve 116928bw3

116928 = 26 · 32 · 7 · 29



Data for elliptic curve 116928bw3

Field Data Notes
Atkin-Lehner 2+ 3- 7- 29+ Signs for the Atkin-Lehner involutions
Class 116928bw Isogeny class
Conductor 116928 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ -2.632030523315E+19 Discriminant
Eigenvalues 2+ 3-  0 7-  0 -2  6 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,614580,162900848] [a1,a2,a3,a4,a6]
Generators [-179:6867:1] Generators of the group modulo torsion
j 134335727363375/137728390128 j-invariant
L 6.8437216027184 L(r)(E,1)/r!
Ω 0.13962828043235 Real period
R 4.0844886755139 Regulator
r 1 Rank of the group of rational points
S 1.0000000058783 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 116928df3 3654m3 38976j3 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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