Cremona's table of elliptic curves

Curve 119130a2

119130 = 2 · 3 · 5 · 11 · 192



Data for elliptic curve 119130a2

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 11+ 19+ Signs for the Atkin-Lehner involutions
Class 119130a Isogeny class
Conductor 119130 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 10503915468750000 = 24 · 34 · 510 · 112 · 193 Discriminant
Eigenvalues 2+ 3+ 5+  2 11+ -2  2 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,0,-185048,-30316848] [a1,a2,a3,a4,a6]
Generators [-268:476:1] Generators of the group modulo torsion
j 102169145969851771/1531406250000 j-invariant
L 3.6364459432967 L(r)(E,1)/r!
Ω 0.23039470105081 Real period
R 1.9729435488672 Regulator
r 1 Rank of the group of rational points
S 1.0000000083174 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 119130bl2 Quadratic twists by: -19


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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