Cremona's table of elliptic curves

Curve 28050bi4

28050 = 2 · 3 · 52 · 11 · 17



Data for elliptic curve 28050bi4

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 11- 17+ Signs for the Atkin-Lehner involutions
Class 28050bi Isogeny class
Conductor 28050 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 1024903399781250 = 2 · 32 · 56 · 118 · 17 Discriminant
Eigenvalues 2+ 3- 5+ -4 11-  2 17+  4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-48426,-3805502] [a1,a2,a3,a4,a6]
Generators [-124:606:1] Generators of the group modulo torsion
j 803760366578833/65593817586 j-invariant
L 4.3154659832133 L(r)(E,1)/r!
Ω 0.32350185090966 Real period
R 0.8337405897135 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 84150fj4 1122h3 Quadratic twists by: -3 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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