Cremona's table of elliptic curves

Curve 109956g4

109956 = 22 · 3 · 72 · 11 · 17



Data for elliptic curve 109956g4

Field Data Notes
Atkin-Lehner 2- 3+ 7- 11+ 17+ Signs for the Atkin-Lehner involutions
Class 109956g Isogeny class
Conductor 109956 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -8.6438355679846E+21 Discriminant
Eigenvalues 2- 3+  0 7- 11+ -2 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-67105908,211656778488] [a1,a2,a3,a4,a6]
Generators [144154512:-26367712371:4096] Generators of the group modulo torsion
j -1109628964475955250000/286997617382553 j-invariant
L 5.1003254973655 L(r)(E,1)/r!
Ω 0.12733604733701 Real period
R 10.013514631529 Regulator
r 1 Rank of the group of rational points
S 1.0000000009498 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 15708i4 Quadratic twists by: -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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