Cremona's table of elliptic curves

Curve 41745y2

41745 = 3 · 5 · 112 · 23



Data for elliptic curve 41745y2

Field Data Notes
Atkin-Lehner 3- 5+ 11- 23+ Signs for the Atkin-Lehner involutions
Class 41745y Isogeny class
Conductor 41745 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 3087201963134025 = 32 · 52 · 1110 · 232 Discriminant
Eigenvalues -1 3- 5+  4 11-  2  2 -4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-336806,-75215205] [a1,a2,a3,a4,a6]
Generators [95628933:3132413301:68921] Generators of the group modulo torsion
j 2385103010385529/1742645025 j-invariant
L 4.9571470961587 L(r)(E,1)/r!
Ω 0.19818630493385 Real period
R 12.506280637834 Regulator
r 1 Rank of the group of rational points
S 1.0000000000006 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 125235bq2 3795g2 Quadratic twists by: -3 -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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