Cremona's table of elliptic curves

Curve 26979k1

26979 = 3 · 17 · 232



Data for elliptic curve 26979k1

Field Data Notes
Atkin-Lehner 3- 17+ 23- Signs for the Atkin-Lehner involutions
Class 26979k Isogeny class
Conductor 26979 Conductor
∏ cp 14 Product of Tamagawa factors cp
deg 59136 Modular degree for the optimal curve
Δ -126588005294013 = -1 · 37 · 17 · 237 Discriminant
Eigenvalues -1 3-  0  2  3  1 17+ -5 Hecke eigenvalues for primes up to 20
Equation [1,0,0,8982,431649] [a1,a2,a3,a4,a6]
Generators [21:-804:1] Generators of the group modulo torsion
j 541343375/855117 j-invariant
L 4.570422728536 L(r)(E,1)/r!
Ω 0.39973496882884 Real period
R 0.81668803527615 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 80937q1 1173e1 Quadratic twists by: -3 -23


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