Cremona's table of elliptic curves

Curve 29400bt3

29400 = 23 · 3 · 52 · 72



Data for elliptic curve 29400bt3

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- Signs for the Atkin-Lehner involutions
Class 29400bt Isogeny class
Conductor 29400 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ -61751607120000000 = -1 · 210 · 38 · 57 · 76 Discriminant
Eigenvalues 2+ 3- 5+ 7- -4  6 -6  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,97592,-2257312] [a1,a2,a3,a4,a6]
Generators [212:-5292:1] Generators of the group modulo torsion
j 54607676/32805 j-invariant
L 6.7963282256727 L(r)(E,1)/r!
Ω 0.20392642446059 Real period
R 1.0414798259424 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 58800bd3 88200gv3 5880u4 600a4 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.

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