Cremona's table of elliptic curves

Curve 67725z2

67725 = 32 · 52 · 7 · 43



Data for elliptic curve 67725z2

Field Data Notes
Atkin-Lehner 3- 5+ 7- 43- Signs for the Atkin-Lehner involutions
Class 67725z Isogeny class
Conductor 67725 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 6.0466412196231E+21 Discriminant
Eigenvalues  1 3- 5+ 7-  4  2  6  0 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-21630042,38544132991] [a1,a2,a3,a4,a6]
j 98253551457664019929/530843673602025 j-invariant
L 4.3242680575979 L(r)(E,1)/r!
Ω 0.13513337657049 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 22575g2 13545j2 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
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