Cremona's table of elliptic curves

Curve 84075a2

84075 = 3 · 52 · 19 · 59



Data for elliptic curve 84075a2

Field Data Notes
Atkin-Lehner 3+ 5+ 19+ 59+ Signs for the Atkin-Lehner involutions
Class 84075a Isogeny class
Conductor 84075 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -2.9446649400977E+24 Discriminant
Eigenvalues -1 3+ 5+  0 -6  0 -6 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,1,11606712,81151053156] [a1,a2,a3,a4,a6]
Generators [9810:1062432:1] Generators of the group modulo torsion
j 11067035645383395052103/188458556166253790451 j-invariant
L 1.8853386837414 L(r)(E,1)/r!
Ω 0.059752359730063 Real period
R 7.8881348359852 Regulator
r 1 Rank of the group of rational points
S 1.0000000013076 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 3363d2 Quadratic twists by: 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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