Cremona's table of elliptic curves

Curve 75810cs2

75810 = 2 · 3 · 5 · 7 · 192



Data for elliptic curve 75810cs2

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7+ 19+ Signs for the Atkin-Lehner involutions
Class 75810cs Isogeny class
Conductor 75810 Conductor
∏ cp 40 Product of Tamagawa factors cp
Δ 1.1621597435511E+21 Discriminant
Eigenvalues 2- 3- 5+ 7+  4  2  4 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,0,-2636571,-158635599] [a1,a2,a3,a4,a6]
Generators [1363860:-28516429:729] Generators of the group modulo torsion
j 6281447387851/3601500000 j-invariant
L 12.535454495757 L(r)(E,1)/r!
Ω 0.12856856076418 Real period
R 9.750015417679 Regulator
r 1 Rank of the group of rational points
S 0.99999999991713 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 75810c2 Quadratic twists by: -19


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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