Cremona's table of elliptic curves

Curve 41552b1

41552 = 24 · 72 · 53



Data for elliptic curve 41552b1

Field Data Notes
Atkin-Lehner 2+ 7+ 53+ Signs for the Atkin-Lehner involutions
Class 41552b Isogeny class
Conductor 41552 Conductor
∏ cp 3 Product of Tamagawa factors cp
deg 22848 Modular degree for the optimal curve
Δ 4888551248 = 24 · 78 · 53 Discriminant
Eigenvalues 2+ -2  0 7+  5 -1  5 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1143,-14876] [a1,a2,a3,a4,a6]
Generators [-166:147:8] Generators of the group modulo torsion
j 1792000/53 j-invariant
L 4.075007525363 L(r)(E,1)/r!
Ω 0.82251128561801 Real period
R 1.6514494883406 Regulator
r 1 Rank of the group of rational points
S 0.99999999999958 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 20776a1 41552h1 Quadratic twists by: -4 -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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