Cremona's table of elliptic curves

Curve 26975b3

26975 = 52 · 13 · 83



Data for elliptic curve 26975b3

Field Data Notes
Atkin-Lehner 5+ 13- 83+ Signs for the Atkin-Lehner involutions
Class 26975b Isogeny class
Conductor 26975 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 4116058349609375 = 518 · 13 · 83 Discriminant
Eigenvalues -1  0 5+  0 -4 13-  6 -8 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-152005,22638622] [a1,a2,a3,a4,a6]
j 24858483378233049/263427734375 j-invariant
L 0.44078301318203 L(r)(E,1)/r!
Ω 0.44078301318238 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 5395a4 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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