Cremona's table of elliptic curves

Curve 84525cn4

84525 = 3 · 52 · 72 · 23



Data for elliptic curve 84525cn4

Field Data Notes
Atkin-Lehner 3- 5+ 7- 23- Signs for the Atkin-Lehner involutions
Class 84525cn Isogeny class
Conductor 84525 Conductor
∏ cp 40 Product of Tamagawa factors cp
Δ 2.508317035675E+21 Discriminant
Eigenvalues -1 3- 5+ 7-  4  6 -2  4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-36913563,-86292545508] [a1,a2,a3,a4,a6]
j 3026030815665395929/1364501953125 j-invariant
L 2.4500492118264 L(r)(E,1)/r!
Ω 0.061251230283118 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 16905l3 1725g4 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
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