Cremona's table of elliptic curves

Curve 79335o1

79335 = 32 · 5 · 41 · 43



Data for elliptic curve 79335o1

Field Data Notes
Atkin-Lehner 3- 5- 41- 43- Signs for the Atkin-Lehner involutions
Class 79335o Isogeny class
Conductor 79335 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 204800 Modular degree for the optimal curve
Δ -47432105701875 = -1 · 316 · 54 · 41 · 43 Discriminant
Eigenvalues  2 3- 5-  1  2 -2  2 -1 Hecke eigenvalues for primes up to 20
Equation [0,0,1,1113,331047] [a1,a2,a3,a4,a6]
Generators [2866:54671:8] Generators of the group modulo torsion
j 209161465856/65064616875 j-invariant
L 15.294184032304 L(r)(E,1)/r!
Ω 0.49363990805329 Real period
R 1.9364044241826 Regulator
r 1 Rank of the group of rational points
S 1.0000000001167 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 26445i1 Quadratic twists by: -3


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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