Cremona's table of elliptic curves

Curve 7224h2

7224 = 23 · 3 · 7 · 43



Data for elliptic curve 7224h2

Field Data Notes
Atkin-Lehner 2- 3+ 7- 43+ Signs for the Atkin-Lehner involutions
Class 7224h Isogeny class
Conductor 7224 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 1878702336 = 28 · 34 · 72 · 432 Discriminant
Eigenvalues 2- 3+  2 7- -4 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-532,4420] [a1,a2,a3,a4,a6]
Generators [-8:90:1] Generators of the group modulo torsion
j 65168050768/7338681 j-invariant
L 4.0001111652799 L(r)(E,1)/r!
Ω 1.4342852406607 Real period
R 1.394461524068 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 14448i2 57792bu2 21672e2 50568t2 Quadratic twists by: -4 8 -3 -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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