Cremona's table of elliptic curves

Curve 101175j2

101175 = 3 · 52 · 19 · 71



Data for elliptic curve 101175j2

Field Data Notes
Atkin-Lehner 3- 5+ 19+ 71- Signs for the Atkin-Lehner involutions
Class 101175j Isogeny class
Conductor 101175 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 7.3159773479179E+21 Discriminant
Eigenvalues -1 3- 5+  2  4  4 -8 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,0,-487163588,4138623023667] [a1,a2,a3,a4,a6]
Generators [12718:-1673:1] Generators of the group modulo torsion
j 818329387100621210189806969/468222550266745125 j-invariant
L 6.297879482573 L(r)(E,1)/r!
Ω 0.10884412671266 Real period
R 2.4108939359854 Regulator
r 1 Rank of the group of rational points
S 1.000000000183 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 20235a2 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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