Cremona's table of elliptic curves

Curve 27200by4

27200 = 26 · 52 · 17



Data for elliptic curve 27200by4

Field Data Notes
Atkin-Lehner 2- 5+ 17+ Signs for the Atkin-Lehner involutions
Class 27200by Isogeny class
Conductor 27200 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -1.183744E+24 Discriminant
Eigenvalues 2-  2 5+  2  6  2 17+  8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,26098367,10317511137] [a1,a2,a3,a4,a6]
j 479958568556831351/289000000000000 j-invariant
L 5.3095187272866 L(r)(E,1)/r!
Ω 0.053095187272871 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 25 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 27200o4 6800m4 5440y4 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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