Cremona's table of elliptic curves

Curve 86925k2

86925 = 3 · 52 · 19 · 61



Data for elliptic curve 86925k2

Field Data Notes
Atkin-Lehner 3- 5+ 19- 61+ Signs for the Atkin-Lehner involutions
Class 86925k Isogeny class
Conductor 86925 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 181193804296875 = 38 · 58 · 19 · 612 Discriminant
Eigenvalues  1 3- 5+  0 -2  4  2 19- Hecke eigenvalues for primes up to 20
Equation [1,0,1,-15401,347573] [a1,a2,a3,a4,a6]
Generators [3:547:1] Generators of the group modulo torsion
j 25852938427009/11596403475 j-invariant
L 9.4515430753975 L(r)(E,1)/r!
Ω 0.51129474469469 Real period
R 1.1553442473997 Regulator
r 1 Rank of the group of rational points
S 1.0000000003447 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 17385d2 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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