Cremona's table of elliptic curves

Curve 73568d2

73568 = 25 · 112 · 19



Data for elliptic curve 73568d2

Field Data Notes
Atkin-Lehner 2+ 11- 19+ Signs for the Atkin-Lehner involutions
Class 73568d Isogeny class
Conductor 73568 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -580081993726095872 = -1 · 29 · 1112 · 192 Discriminant
Eigenvalues 2+  0  2 -2 11- -2 -6 19+ Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1018699,-397439262] [a1,a2,a3,a4,a6]
j -128894765196744/639533521 j-invariant
L 0.15023086670709 L(r)(E,1)/r!
Ω 0.075115437938089 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 73568s2 6688d2 Quadratic twists by: -4 -11


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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