Cremona's table of elliptic curves

Curve 54450da1

54450 = 2 · 32 · 52 · 112



Data for elliptic curve 54450da1

Field Data Notes
Atkin-Lehner 2+ 3- 5- 11- Signs for the Atkin-Lehner involutions
Class 54450da Isogeny class
Conductor 54450 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 22471680 Modular degree for the optimal curve
Δ 3.4995946929414E+26 Discriminant
Eigenvalues 2+ 3- 5- -1 11- -1  3 -5 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-449430867,3555214527541] [a1,a2,a3,a4,a6]
j 32893747448573/1146617856 j-invariant
L 0.64248988669824 L(r)(E,1)/r!
Ω 0.053540823910914 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 18150cf1 54450gt1 54450gs1 Quadratic twists by: -3 5 -11


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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