Cremona's table of elliptic curves

Curve 41184l2

41184 = 25 · 32 · 11 · 13



Data for elliptic curve 41184l2

Field Data Notes
Atkin-Lehner 2+ 3- 11+ 13- Signs for the Atkin-Lehner involutions
Class 41184l Isogeny class
Conductor 41184 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -5114981634048 = -1 · 212 · 38 · 114 · 13 Discriminant
Eigenvalues 2+ 3- -2  0 11+ 13-  6  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,4164,-33824] [a1,a2,a3,a4,a6]
Generators [1412:16785:64] Generators of the group modulo torsion
j 2674043072/1712997 j-invariant
L 5.2585276319982 L(r)(E,1)/r!
Ω 0.43916018693413 Real period
R 5.9870268166937 Regulator
r 1 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 41184bh2 82368br1 13728n4 Quadratic twists by: -4 8 -3


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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