Cremona's table of elliptic curves

Curve 109650bf2

109650 = 2 · 3 · 52 · 17 · 43



Data for elliptic curve 109650bf2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 17- 43- Signs for the Atkin-Lehner involutions
Class 109650bf Isogeny class
Conductor 109650 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 2171676501562500 = 22 · 32 · 58 · 174 · 432 Discriminant
Eigenvalues 2+ 3- 5+  4  0  2 17-  0 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-32751,-423602] [a1,a2,a3,a4,a6]
j 248632741743841/138987296100 j-invariant
L 3.049253872103 L(r)(E,1)/r!
Ω 0.38115671929703 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 21930bb2 Quadratic twists by: 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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