Cremona's table of elliptic curves

Curve 35574m2

35574 = 2 · 3 · 72 · 112



Data for elliptic curve 35574m2

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 11- Signs for the Atkin-Lehner involutions
Class 35574m Isogeny class
Conductor 35574 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 5.3492904885699E+22 Discriminant
Eigenvalues 2+ 3+  2 7- 11- -4 -6 -2 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-311029534,2111144052340] [a1,a2,a3,a4,a6]
Generators [10267390:-19110083:1000] Generators of the group modulo torsion
j 46546832455691959/748268928 j-invariant
L 3.5706974136573 L(r)(E,1)/r!
Ω 0.10268007103341 Real period
R 8.6937449928711 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 106722hh2 35574bi2 3234q2 Quadratic twists by: -3 -7 -11


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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