Cremona's table of elliptic curves

Curve 6720s4

6720 = 26 · 3 · 5 · 7



Data for elliptic curve 6720s4

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- Signs for the Atkin-Lehner involutions
Class 6720s Isogeny class
Conductor 6720 Conductor
∏ cp 24 Product of Tamagawa factors cp
Δ 27095040000 = 215 · 33 · 54 · 72 Discriminant
Eigenvalues 2+ 3- 5+ 7-  0 -2 -2  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-56481,5147775] [a1,a2,a3,a4,a6]
Generators [141:84:1] Generators of the group modulo torsion
j 608119035935048/826875 j-invariant
L 4.6979685938773 L(r)(E,1)/r!
Ω 1.0062682256337 Real period
R 0.77811735052365 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 6720a3 3360g3 20160cf3 33600a4 Quadratic twists by: -4 8 -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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