Cremona's table of elliptic curves

Curve 29760cx4

29760 = 26 · 3 · 5 · 31



Data for elliptic curve 29760cx4

Field Data Notes
Atkin-Lehner 2- 3- 5- 31- Signs for the Atkin-Lehner involutions
Class 29760cx Isogeny class
Conductor 29760 Conductor
∏ cp 192 Product of Tamagawa factors cp
Δ 4902433652736000 = 219 · 34 · 53 · 314 Discriminant
Eigenvalues 2- 3- 5- -4 -4 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-96865,11071775] [a1,a2,a3,a4,a6]
Generators [-70:4185:1] Generators of the group modulo torsion
j 383432500775449/18701300250 j-invariant
L 5.7311486511828 L(r)(E,1)/r!
Ω 0.42729082329284 Real period
R 1.1177298806733 Regulator
r 1 Rank of the group of rational points
S 0.99999999999999 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 29760o4 7440k3 89280ex4 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
Back to Tables and computations