Cremona's table of elliptic curves

Curve 13013g2

13013 = 7 · 11 · 132



Data for elliptic curve 13013g2

Field Data Notes
Atkin-Lehner 7+ 11- 13- Signs for the Atkin-Lehner involutions
Class 13013g Isogeny class
Conductor 13013 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -62874076782517 = -1 · 72 · 112 · 139 Discriminant
Eigenvalues -1 -2  2 7+ 11- 13- -2  0 Hecke eigenvalues for primes up to 20
Equation [1,0,0,8193,253798] [a1,a2,a3,a4,a6]
Generators [-9:428:1] Generators of the group modulo torsion
j 5735339/5929 j-invariant
L 2.0582931910285 L(r)(E,1)/r!
Ω 0.41092896172209 Real period
R 2.5044391887137 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 117117y2 91091t2 13013p2 Quadratic twists by: -3 -7 13


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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