Cremona's table of elliptic curves

Curve 44051f1

44051 = 72 · 29 · 31



Data for elliptic curve 44051f1

Field Data Notes
Atkin-Lehner 7- 29+ 31- Signs for the Atkin-Lehner involutions
Class 44051f Isogeny class
Conductor 44051 Conductor
∏ cp 3 Product of Tamagawa factors cp
deg 13896 Modular degree for the optimal curve
Δ -42333011 = -1 · 72 · 29 · 313 Discriminant
Eigenvalues  1  1 -2 7-  5 -4  2 -8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-327,2265] [a1,a2,a3,a4,a6]
Generators [-15:69:1] Generators of the group modulo torsion
j -78570645433/863939 j-invariant
L 6.2515036950794 L(r)(E,1)/r!
Ω 2.0410638952118 Real period
R 1.0209550861758 Regulator
r 1 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 44051a1 Quadratic twists by: -7


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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