Cremona's table of elliptic curves

Curve 124656do1

124656 = 24 · 3 · 72 · 53



Data for elliptic curve 124656do1

Field Data Notes
Atkin-Lehner 2- 3- 7- 53+ Signs for the Atkin-Lehner involutions
Class 124656do Isogeny class
Conductor 124656 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 2386944 Modular degree for the optimal curve
Δ 1.0311368981676E+19 Discriminant
Eigenvalues 2- 3- -2 7-  3  1 -5 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-550629,29209410] [a1,a2,a3,a4,a6]
j 4085087469568/2281476213 j-invariant
L 3.1647024492646 L(r)(E,1)/r!
Ω 0.19779384721368 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 31164e1 124656bt1 Quadratic twists by: -4 -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
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