Cremona's table of elliptic curves

Curve 85848o1

85848 = 23 · 3 · 72 · 73



Data for elliptic curve 85848o1

Field Data Notes
Atkin-Lehner 2- 3+ 7- 73+ Signs for the Atkin-Lehner involutions
Class 85848o Isogeny class
Conductor 85848 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 138240 Modular degree for the optimal curve
Δ 79150482432 = 210 · 32 · 76 · 73 Discriminant
Eigenvalues 2- 3+ -4 7-  0  0  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-10600,-416324] [a1,a2,a3,a4,a6]
Generators [142:960:1] Generators of the group modulo torsion
j 1093437796/657 j-invariant
L 3.49582359767 L(r)(E,1)/r!
Ω 0.47052785339667 Real period
R 3.7147892249708 Regulator
r 1 Rank of the group of rational points
S 0.99999999942126 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 1752l1 Quadratic twists by: -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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