Cremona's table of elliptic curves

Curve 52371d4

52371 = 32 · 11 · 232



Data for elliptic curve 52371d4

Field Data Notes
Atkin-Lehner 3- 11- 23- Signs for the Atkin-Lehner involutions
Class 52371d Isogeny class
Conductor 52371 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 3.2887720148803E+19 Discriminant
Eigenvalues  1 3- -2  0 11- -2  2  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-27704358,-56119192065] [a1,a2,a3,a4,a6]
j 21790813729717297/304746849 j-invariant
L 2.1057794049282 L(r)(E,1)/r!
Ω 0.065805606431033 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 16 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 17457c4 2277b4 Quadratic twists by: -3 -23


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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