Cremona's table of elliptic curves

Curve 67860r2

67860 = 22 · 32 · 5 · 13 · 29



Data for elliptic curve 67860r2

Field Data Notes
Atkin-Lehner 2- 3- 5- 13+ 29- Signs for the Atkin-Lehner involutions
Class 67860r Isogeny class
Conductor 67860 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ -5.7171062344184E+22 Discriminant
Eigenvalues 2- 3- 5-  2 -6 13+  2 -6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-20184447,-36750775786] [a1,a2,a3,a4,a6]
Generators [65234:4670595:8] Generators of the group modulo torsion
j -4873116395119300671184/306343569659765625 j-invariant
L 6.4031697517259 L(r)(E,1)/r!
Ω 0.035484508807635 Real period
R 5.6390538130215 Regulator
r 1 Rank of the group of rational points
S 1.0000000002326 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 22620a2 Quadratic twists by: -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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