Cremona's table of elliptic curves

Curve 26048b2

26048 = 26 · 11 · 37



Data for elliptic curve 26048b2

Field Data Notes
Atkin-Lehner 2+ 11+ 37- Signs for the Atkin-Lehner involutions
Class 26048b Isogeny class
Conductor 26048 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 246726656 = 214 · 11 · 372 Discriminant
Eigenvalues 2+  0  2  0 11+ -4  4  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-284,-1680] [a1,a2,a3,a4,a6]
j 154617552/15059 j-invariant
L 2.3405107235547 L(r)(E,1)/r!
Ω 1.1702553617774 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 26048m2 1628a2 Quadratic twists by: -4 8


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