Cremona's table of elliptic curves

Curve 84800cr1

84800 = 26 · 52 · 53



Data for elliptic curve 84800cr1

Field Data Notes
Atkin-Lehner 2- 5- 53- Signs for the Atkin-Lehner involutions
Class 84800cr Isogeny class
Conductor 84800 Conductor
∏ cp 1 Product of Tamagawa factors cp
deg 17280 Modular degree for the optimal curve
Δ 2120000 = 26 · 54 · 53 Discriminant
Eigenvalues 2- -2 5-  3 -5  6 -3  6 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-33,13] [a1,a2,a3,a4,a6]
j 102400/53 j-invariant
L 2.2967637550334 L(r)(E,1)/r!
Ω 2.2967637086285 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 84800bl1 21200x1 84800br1 Quadratic twists by: -4 8 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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