Cremona's table of elliptic curves

Curve 29036i2

29036 = 22 · 7 · 17 · 61



Data for elliptic curve 29036i2

Field Data Notes
Atkin-Lehner 2- 7- 17- 61- Signs for the Atkin-Lehner involutions
Class 29036i Isogeny class
Conductor 29036 Conductor
∏ cp 9 Product of Tamagawa factors cp
Δ -21176419376 = -1 · 24 · 73 · 17 · 613 Discriminant
Eigenvalues 2-  1 -3 7-  3 -4 17-  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-617,-9364] [a1,a2,a3,a4,a6]
Generators [250:427:8] Generators of the group modulo torsion
j -1626158645248/1323526211 j-invariant
L 5.0386720473372 L(r)(E,1)/r!
Ω 0.46284226064858 Real period
R 1.2095966537706 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 116144p2 Quadratic twists by: -4


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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