Cremona's table of elliptic curves

Curve 62400ct2

62400 = 26 · 3 · 52 · 13



Data for elliptic curve 62400ct2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 13- Signs for the Atkin-Lehner involutions
Class 62400ct Isogeny class
Conductor 62400 Conductor
∏ cp 144 Product of Tamagawa factors cp
Δ -351831838397644800 = -1 · 214 · 34 · 52 · 139 Discriminant
Eigenvalues 2+ 3- 5+  1  3 13- -3  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,58287,-28000017] [a1,a2,a3,a4,a6]
Generators [2919:158184:1] Generators of the group modulo torsion
j 53465227872560/858964449213 j-invariant
L 9.0907292770309 L(r)(E,1)/r!
Ω 0.14791280424702 Real period
R 0.42680594655905 Regulator
r 1 Rank of the group of rational points
S 0.99999999998372 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 62400es2 3900b2 62400bk2 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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