Cremona's table of elliptic curves

Curve 99450co3

99450 = 2 · 32 · 52 · 13 · 17



Data for elliptic curve 99450co3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 13+ 17+ Signs for the Atkin-Lehner involutions
Class 99450co Isogeny class
Conductor 99450 Conductor
∏ cp 192 Product of Tamagawa factors cp
Δ 1.9986366834057E+21 Discriminant
Eigenvalues 2- 3- 5+ -4  4 13+ 17+  8 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-14449505,21035007497] [a1,a2,a3,a4,a6]
Generators [-411:164230:1] Generators of the group modulo torsion
j 29291056630578924481/175463302795560 j-invariant
L 9.6386516574714 L(r)(E,1)/r!
Ω 0.14820051796904 Real period
R 1.3549564158775 Regulator
r 1 Rank of the group of rational points
S 1.0000000010232 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 33150q3 19890l4 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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