Cremona's table of elliptic curves

Curve 92925p3

92925 = 32 · 52 · 7 · 59



Data for elliptic curve 92925p3

Field Data Notes
Atkin-Lehner 3- 5+ 7- 59- Signs for the Atkin-Lehner involutions
Class 92925p Isogeny class
Conductor 92925 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 14492553089765625 = 37 · 57 · 7 · 594 Discriminant
Eigenvalues  1 3- 5+ 7- -4 -2 -6  0 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-142317,19872216] [a1,a2,a3,a4,a6]
Generators [-116:5958:1] [17940:80301:64] Generators of the group modulo torsion
j 27986475935881/1272322905 j-invariant
L 13.189269635996 L(r)(E,1)/r!
Ω 0.39088587124163 Real period
R 8.4354990843747 Regulator
r 2 Rank of the group of rational points
S 1.0000000000137 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 30975t3 18585g4 Quadratic twists by: -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
Back to Tables and computations