Cremona's table of elliptic curves

Curve 60270bo2

60270 = 2 · 3 · 5 · 72 · 41



Data for elliptic curve 60270bo2

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- 41- Signs for the Atkin-Lehner involutions
Class 60270bo Isogeny class
Conductor 60270 Conductor
∏ cp 224 Product of Tamagawa factors cp
Δ -113048744344092900 = -1 · 22 · 314 · 52 · 78 · 41 Discriminant
Eigenvalues 2- 3- 5+ 7- -4 -6  0  8 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-35281,-16379539] [a1,a2,a3,a4,a6]
Generators [410:5969:1] Generators of the group modulo torsion
j -41281826100481/960898472100 j-invariant
L 9.9507077808729 L(r)(E,1)/r!
Ω 0.14406952767661 Real period
R 1.2333712287025 Regulator
r 1 Rank of the group of rational points
S 1.0000000000205 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 8610n2 Quadratic twists by: -7


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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