Cremona's table of elliptic curves

Curve 4770bd2

4770 = 2 · 32 · 5 · 53



Data for elliptic curve 4770bd2

Field Data Notes
Atkin-Lehner 2- 3- 5- 53+ Signs for the Atkin-Lehner involutions
Class 4770bd Isogeny class
Conductor 4770 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 2764477350 = 2 · 39 · 52 · 532 Discriminant
Eigenvalues 2- 3- 5- -2 -4 -4  4  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-2642,52859] [a1,a2,a3,a4,a6]
j 2796665386969/3792150 j-invariant
L 2.8639793949407 L(r)(E,1)/r!
Ω 1.4319896974704 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 38160bt2 1590h2 23850bb2 Quadratic twists by: -4 -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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