Cremona's table of elliptic curves

Curve 62475cg3

62475 = 3 · 52 · 72 · 17



Data for elliptic curve 62475cg3

Field Data Notes
Atkin-Lehner 3- 5+ 7- 17- Signs for the Atkin-Lehner involutions
Class 62475cg Isogeny class
Conductor 62475 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -2.9549596436078E+22 Discriminant
Eigenvalues  1 3- 5+ 7- -4 -2 17-  4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-2186651,-8363840677] [a1,a2,a3,a4,a6]
j -629004249876241/16074715228425 j-invariant
L 3.2667031577345 L(r)(E,1)/r!
Ω 0.051042236890584 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 12495b4 8925b4 Quadratic twists by: 5 -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
Back to Tables and computations