Cremona's table of elliptic curves

Curve 4165j1

4165 = 5 · 72 · 17



Data for elliptic curve 4165j1

Field Data Notes
Atkin-Lehner 5- 7- 17+ Signs for the Atkin-Lehner involutions
Class 4165j Isogeny class
Conductor 4165 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 1440 Modular degree for the optimal curve
Δ 50000825 = 52 · 76 · 17 Discriminant
Eigenvalues  1 -2 5- 7-  2 -2 17+  0 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-418,3231] [a1,a2,a3,a4,a6]
Generators [15:12:1] Generators of the group modulo torsion
j 68417929/425 j-invariant
L 3.2072490195292 L(r)(E,1)/r!
Ω 2.015252839605 Real period
R 1.5914871605678 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 66640cf1 37485bd1 20825s1 85a1 Quadratic twists by: -4 -3 5 -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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