Cremona's table of elliptic curves

Curve 26010bd3

26010 = 2 · 32 · 5 · 172



Data for elliptic curve 26010bd3

Field Data Notes
Atkin-Lehner 2- 3+ 5- 17+ Signs for the Atkin-Lehner involutions
Class 26010bd Isogeny class
Conductor 26010 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ -237549885313500 = -1 · 22 · 39 · 53 · 176 Discriminant
Eigenvalues 2- 3+ 5- -2  6 -4 17+ -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,15118,-198611] [a1,a2,a3,a4,a6]
Generators [1022:15091:8] Generators of the group modulo torsion
j 804357/500 j-invariant
L 8.6569192979659 L(r)(E,1)/r!
Ω 0.32104394269117 Real period
R 2.2470753861602 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 26010c1 90b3 Quadratic twists by: -3 17


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations