Cremona's table of elliptic curves

Curve 107712dw4

107712 = 26 · 32 · 11 · 17



Data for elliptic curve 107712dw4

Field Data Notes
Atkin-Lehner 2- 3- 11+ 17- Signs for the Atkin-Lehner involutions
Class 107712dw Isogeny class
Conductor 107712 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 832196494976090112 = 221 · 313 · 114 · 17 Discriminant
Eigenvalues 2- 3- -2  0 11+ -2 17- -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-913712556,10630715677904] [a1,a2,a3,a4,a6]
Generators [15274:487872:1] [19661:516013:1] Generators of the group modulo torsion
j 441453577446719855661097/4354701912 j-invariant
L 10.131131523765 L(r)(E,1)/r!
Ω 0.14094342571989 Real period
R 17.970209454148 Regulator
r 2 Rank of the group of rational points
S 0.99999999983015 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 107712cj4 26928bt4 35904bx4 Quadratic twists by: -4 8 -3


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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