Cremona's table of elliptic curves

Curve 1785a2

1785 = 3 · 5 · 7 · 17



Data for elliptic curve 1785a2

Field Data Notes
Atkin-Lehner 3+ 5+ 7+ 17- Signs for the Atkin-Lehner involutions
Class 1785a Isogeny class
Conductor 1785 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 4590075735 = 33 · 5 · 76 · 172 Discriminant
Eigenvalues  1 3+ 5+ 7+ -4 -4 17-  6 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-598,-4847] [a1,a2,a3,a4,a6]
j 23711636464489/4590075735 j-invariant
L 0.97822517963137 L(r)(E,1)/r!
Ω 0.97822517963137 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 28560dp2 114240ei2 5355k2 8925z2 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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