Cremona's table of elliptic curves

Curve 44640s2

44640 = 25 · 32 · 5 · 31



Data for elliptic curve 44640s2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 31+ Signs for the Atkin-Lehner involutions
Class 44640s Isogeny class
Conductor 44640 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 8967283200 = 29 · 36 · 52 · 312 Discriminant
Eigenvalues 2+ 3- 5-  0  6 -4 -2  8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-2307,-42406] [a1,a2,a3,a4,a6]
Generators [514:2185:8] Generators of the group modulo torsion
j 3638052872/24025 j-invariant
L 7.0331098368702 L(r)(E,1)/r!
Ω 0.68914476232888 Real period
R 5.1027811726491 Regulator
r 1 Rank of the group of rational points
S 0.99999999999816 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 44640v2 89280ee2 4960c2 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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