Cremona's table of elliptic curves

Curve 74592b2

74592 = 25 · 32 · 7 · 37



Data for elliptic curve 74592b2

Field Data Notes
Atkin-Lehner 2+ 3+ 7+ 37+ Signs for the Atkin-Lehner involutions
Class 74592b Isogeny class
Conductor 74592 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 17812111306752 = 212 · 33 · 76 · 372 Discriminant
Eigenvalues 2+ 3+ -2 7+  0  2 -2  2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1882236,-993937824] [a1,a2,a3,a4,a6]
Generators [723940:22843652:343] Generators of the group modulo torsion
j 6668408964664760256/161061481 j-invariant
L 4.829182210067 L(r)(E,1)/r!
Ω 0.12889350583151 Real period
R 9.3666127319712 Regulator
r 1 Rank of the group of rational points
S 0.99999999977384 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 74592y2 74592v2 Quadratic twists by: -4 -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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