Cremona's table of elliptic curves

Curve 3570w4

3570 = 2 · 3 · 5 · 7 · 17



Data for elliptic curve 3570w4

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- 17+ Signs for the Atkin-Lehner involutions
Class 3570w Isogeny class
Conductor 3570 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 38358689670 = 2 · 38 · 5 · 7 · 174 Discriminant
Eigenvalues 2- 3- 5+ 7-  4 -2 17+  8 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-861,2331] [a1,a2,a3,a4,a6]
j 70593496254289/38358689670 j-invariant
L 4.0184023731502 L(r)(E,1)/r!
Ω 1.0046005932875 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 28560cg3 114240cf3 10710o3 17850f4 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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