Cremona's table of elliptic curves

Curve 14400dp2

14400 = 26 · 32 · 52



Data for elliptic curve 14400dp2

Field Data Notes
Atkin-Lehner 2- 3- 5+ Signs for the Atkin-Lehner involutions
Class 14400dp Isogeny class
Conductor 14400 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 671846400000000 = 218 · 38 · 58 Discriminant
Eigenvalues 2- 3- 5+  0  4 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-72300,7378000] [a1,a2,a3,a4,a6]
Generators [-235:3375:1] Generators of the group modulo torsion
j 13997521/225 j-invariant
L 5.1520216213782 L(r)(E,1)/r!
Ω 0.51142792026395 Real period
R 2.5184495298571 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 14400y2 3600bf2 4800cd2 2880bd2 Quadratic twists by: -4 8 -3 5


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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