Cremona's table of elliptic curves

Curve 56280o2

56280 = 23 · 3 · 5 · 7 · 67



Data for elliptic curve 56280o2

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 7- 67+ Signs for the Atkin-Lehner involutions
Class 56280o Isogeny class
Conductor 56280 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 25656251040000 = 28 · 36 · 54 · 72 · 672 Discriminant
Eigenvalues 2- 3+ 5+ 7-  0  2  6 -8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-7796,106596] [a1,a2,a3,a4,a6]
Generators [-40:594:1] Generators of the group modulo torsion
j 204717488205904/100219730625 j-invariant
L 5.2644549894475 L(r)(E,1)/r!
Ω 0.59522841288804 Real period
R 2.2111070621615 Regulator
r 1 Rank of the group of rational points
S 1.0000000000197 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 112560m2 Quadratic twists by: -4


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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