Cremona's table of elliptic curves

Curve 73920cp2

73920 = 26 · 3 · 5 · 7 · 11



Data for elliptic curve 73920cp2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 11+ Signs for the Atkin-Lehner involutions
Class 73920cp Isogeny class
Conductor 73920 Conductor
∏ cp 192 Product of Tamagawa factors cp
Δ 42936426086400 = 214 · 34 · 52 · 76 · 11 Discriminant
Eigenvalues 2+ 3- 5+ 7- 11+  2 -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-16721,764655] [a1,a2,a3,a4,a6]
Generators [127:-840:1] Generators of the group modulo torsion
j 31558509702736/2620631475 j-invariant
L 7.450864932914 L(r)(E,1)/r!
Ω 0.6267735217839 Real period
R 0.24765939752036 Regulator
r 1 Rank of the group of rational points
S 0.99999999988616 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 73920ek2 4620f2 Quadratic twists by: -4 8


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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