Cremona's table of elliptic curves

Curve 15840s3

15840 = 25 · 32 · 5 · 11



Data for elliptic curve 15840s3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 11+ Signs for the Atkin-Lehner involutions
Class 15840s Isogeny class
Conductor 15840 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 20528640000 = 212 · 36 · 54 · 11 Discriminant
Eigenvalues 2- 3- 5+  0 11+ -2  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-828,6048] [a1,a2,a3,a4,a6]
Generators [-26:100:1] Generators of the group modulo torsion
j 21024576/6875 j-invariant
L 4.3353813521537 L(r)(E,1)/r!
Ω 1.1199778418467 Real period
R 0.96773819761588 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 15840i2 31680bq1 1760f2 79200t3 Quadratic twists by: -4 8 -3 5


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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