Cremona's table of elliptic curves

Curve 84525r2

84525 = 3 · 52 · 72 · 23



Data for elliptic curve 84525r2

Field Data Notes
Atkin-Lehner 3+ 5+ 7- 23- Signs for the Atkin-Lehner involutions
Class 84525r Isogeny class
Conductor 84525 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 868415477516015625 = 36 · 58 · 78 · 232 Discriminant
Eigenvalues  1 3+ 5+ 7-  4 -6 -2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-399375,-86346000] [a1,a2,a3,a4,a6]
Generators [-61230:472615:216] Generators of the group modulo torsion
j 3832302404449/472410225 j-invariant
L 5.5726776406334 L(r)(E,1)/r!
Ω 0.19144817103318 Real period
R 7.2770055859153 Regulator
r 1 Rank of the group of rational points
S 1.0000000000981 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 16905z2 12075s2 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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