Cremona's table of elliptic curves

Curve 106470o2

106470 = 2 · 32 · 5 · 7 · 132



Data for elliptic curve 106470o2

Field Data Notes
Atkin-Lehner 2+ 3+ 5- 7- 13+ Signs for the Atkin-Lehner involutions
Class 106470o Isogeny class
Conductor 106470 Conductor
∏ cp 80 Product of Tamagawa factors cp
Δ -1.5366120337709E+22 Discriminant
Eigenvalues 2+ 3+ 5- 7-  0 13+  4  6 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,6146076,1082505230] [a1,a2,a3,a4,a6]
Generators [1951:142192:1] Generators of the group modulo torsion
j 270250212973077/161738281250 j-invariant
L 6.3467741132536 L(r)(E,1)/r!
Ω 0.076095035707347 Real period
R 4.1702944702848 Regulator
r 1 Rank of the group of rational points
S 0.99999999696288 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 106470dj2 8190bb2 Quadratic twists by: -3 13


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations