Cremona's table of elliptic curves

Curve 12432ba2

12432 = 24 · 3 · 7 · 37



Data for elliptic curve 12432ba2

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 37+ Signs for the Atkin-Lehner involutions
Class 12432ba Isogeny class
Conductor 12432 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 36797225442066432 = 214 · 314 · 73 · 372 Discriminant
Eigenvalues 2- 3+ -2 7+ -2  0 -6  8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-90104,-4786320] [a1,a2,a3,a4,a6]
j 19751532485554297/8983697617692 j-invariant
L 0.57531890143522 L(r)(E,1)/r!
Ω 0.28765945071761 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 1554e2 49728ei2 37296bp2 87024do2 Quadratic twists by: -4 8 -3 -7


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