Cremona's table of elliptic curves

Curve 109725b3

109725 = 3 · 52 · 7 · 11 · 19



Data for elliptic curve 109725b3

Field Data Notes
Atkin-Lehner 3+ 5+ 7+ 11+ 19+ Signs for the Atkin-Lehner involutions
Class 109725b Isogeny class
Conductor 109725 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -2021152716064453125 = -1 · 3 · 514 · 7 · 112 · 194 Discriminant
Eigenvalues -1 3+ 5+ 7+ 11+ -2  2 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,1,221287,-55344844] [a1,a2,a3,a4,a6]
Generators [299:5987:1] Generators of the group modulo torsion
j 76695744340128311/129353773828125 j-invariant
L 1.9582996127297 L(r)(E,1)/r!
Ω 0.13773817635444 Real period
R 3.5543878735546 Regulator
r 1 Rank of the group of rational points
S 0.99999999882072 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 21945x3 Quadratic twists by: 5


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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