Cremona's table of elliptic curves

Curve 73920cv1

73920 = 26 · 3 · 5 · 7 · 11



Data for elliptic curve 73920cv1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 11- Signs for the Atkin-Lehner involutions
Class 73920cv Isogeny class
Conductor 73920 Conductor
∏ cp 48 Product of Tamagawa factors cp
deg 8847360 Modular degree for the optimal curve
Δ -2.3070391652747E+23 Discriminant
Eigenvalues 2+ 3- 5+ 7- 11-  2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-21302401,44334359519] [a1,a2,a3,a4,a6]
j -4078208988807294650401/880065599546327040 j-invariant
L 4.5554082516363 L(r)(E,1)/r!
Ω 0.094904338630778 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 73920dz1 2310o1 Quadratic twists by: -4 8


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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