Cremona's table of elliptic curves

Curve 19800p1

19800 = 23 · 32 · 52 · 11



Data for elliptic curve 19800p1

Field Data Notes
Atkin-Lehner 2+ 3- 5- 11+ Signs for the Atkin-Lehner involutions
Class 19800p Isogeny class
Conductor 19800 Conductor
∏ cp 96 Product of Tamagawa factors cp
deg 499200 Modular degree for the optimal curve
Δ -1.40633637507E+19 Discriminant
Eigenvalues 2+ 3- 5-  1 11+ -1  2 -5 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-7135500,-7338647500] [a1,a2,a3,a4,a6]
Generators [5350:328050:1] Generators of the group modulo torsion
j -551149496796160/192913083 j-invariant
L 5.128621661045 L(r)(E,1)/r!
Ω 0.046185360485471 Real period
R 1.1567116017067 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 39600bq1 6600y1 19800z1 Quadratic twists by: -4 -3 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
Back to Tables and computations