Cremona's table of elliptic curves

Curve 29400bu2

29400 = 23 · 3 · 52 · 72



Data for elliptic curve 29400bu2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- Signs for the Atkin-Lehner involutions
Class 29400bu Isogeny class
Conductor 29400 Conductor
∏ cp 192 Product of Tamagawa factors cp
Δ 420253992900000000 = 28 · 36 · 58 · 78 Discriminant
Eigenvalues 2+ 3- 5+ 7- -4 -6 -2  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-240508,-33068512] [a1,a2,a3,a4,a6]
Generators [-172:1800:1] Generators of the group modulo torsion
j 3269383504/893025 j-invariant
L 5.9992623480426 L(r)(E,1)/r!
Ω 0.22000705699881 Real period
R 2.2723749675277 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 58800be2 88200gw2 5880z2 4200e2 Quadratic twists by: -4 -3 5 -7


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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