Cremona's table of elliptic curves

Curve 92736dt2

92736 = 26 · 32 · 7 · 23



Data for elliptic curve 92736dt2

Field Data Notes
Atkin-Lehner 2- 3- 7+ 23+ Signs for the Atkin-Lehner involutions
Class 92736dt Isogeny class
Conductor 92736 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 335416825271549952 = 225 · 36 · 72 · 234 Discriminant
Eigenvalues 2- 3-  0 7+ -4  0 -6 -6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-348780,74224208] [a1,a2,a3,a4,a6]
Generators [1402:48384:1] Generators of the group modulo torsion
j 24553362849625/1755162752 j-invariant
L 4.5794860081771 L(r)(E,1)/r!
Ω 0.29806643207419 Real period
R 1.9204972081817 Regulator
r 1 Rank of the group of rational points
S 1.0000000006481 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 92736cj2 23184bh2 10304y2 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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