Cremona's table of elliptic curves

Curve 44275i1

44275 = 52 · 7 · 11 · 23



Data for elliptic curve 44275i1

Field Data Notes
Atkin-Lehner 5+ 7- 11- 23+ Signs for the Atkin-Lehner involutions
Class 44275i Isogeny class
Conductor 44275 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 32000 Modular degree for the optimal curve
Δ -7000984375 = -1 · 56 · 7 · 112 · 232 Discriminant
Eigenvalues  1  2 5+ 7- 11-  6 -4 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,250,-3625] [a1,a2,a3,a4,a6]
Generators [29082:-969649:27] Generators of the group modulo torsion
j 109902239/448063 j-invariant
L 10.747484540662 L(r)(E,1)/r!
Ω 0.67261286157668 Real period
R 7.9893540211707 Regulator
r 1 Rank of the group of rational points
S 1.0000000000004 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 1771b1 Quadratic twists by: 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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