Cremona's table of elliptic curves

Curve 27720n2

27720 = 23 · 32 · 5 · 7 · 11



Data for elliptic curve 27720n2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7+ 11+ Signs for the Atkin-Lehner involutions
Class 27720n Isogeny class
Conductor 27720 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -3.444506621205E+19 Discriminant
Eigenvalues 2+ 3- 5- 7+ 11+  0 -4 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-2762787,-1789952834] [a1,a2,a3,a4,a6]
Generators [32450444624:1686872118645:8998912] Generators of the group modulo torsion
j -1562098599189850178/23071165962075 j-invariant
L 5.386564660947 L(r)(E,1)/r!
Ω 0.058499398651327 Real period
R 11.509871864351 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 55440bq2 9240bc2 Quadratic twists by: -4 -3


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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