Cremona's table of elliptic curves

Curve 59280cf6

59280 = 24 · 3 · 5 · 13 · 19



Data for elliptic curve 59280cf6

Field Data Notes
Atkin-Lehner 2- 3- 5- 13- 19+ Signs for the Atkin-Lehner involutions
Class 59280cf Isogeny class
Conductor 59280 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 591851520 = 212 · 32 · 5 · 132 · 19 Discriminant
Eigenvalues 2- 3- 5-  0  4 13- -6 19+ Hecke eigenvalues for primes up to 20
Equation [0,1,0,-12330240,16660894068] [a1,a2,a3,a4,a6]
Generators [14348:1671438:1] Generators of the group modulo torsion
j 50614900703283430575361/144495 j-invariant
L 9.084066186748 L(r)(E,1)/r!
Ω 0.5180022461749 Real period
R 8.7683656334048 Regulator
r 1 Rank of the group of rational points
S 3.999999999989 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 3705e5 Quadratic twists by: -4


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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