Cremona's table of elliptic curves

Curve 22704bd5

22704 = 24 · 3 · 11 · 43



Data for elliptic curve 22704bd5

Field Data Notes
Atkin-Lehner 2- 3+ 11- 43- Signs for the Atkin-Lehner involutions
Class 22704bd Isogeny class
Conductor 22704 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -6.2562877942862E+20 Discriminant
Eigenvalues 2- 3+ -2  0 11- -2 -6  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-24464,1203427008] [a1,a2,a3,a4,a6]
j -395333776029457/152741401227689868 j-invariant
L 0.51706416936546 L(r)(E,1)/r!
Ω 0.12926604234136 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 2838e6 90816cf5 68112bu5 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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