Cremona's table of elliptic curves

Curve 89425m1

89425 = 52 · 72 · 73



Data for elliptic curve 89425m1

Field Data Notes
Atkin-Lehner 5+ 7- 73+ Signs for the Atkin-Lehner involutions
Class 89425m Isogeny class
Conductor 89425 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 225792 Modular degree for the optimal curve
Δ -230141664921875 = -1 · 57 · 79 · 73 Discriminant
Eigenvalues -1  1 5+ 7-  2  4  0 -4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,3037,727292] [a1,a2,a3,a4,a6]
j 4913/365 j-invariant
L 1.7052554230903 L(r)(E,1)/r!
Ω 0.42631388985119 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 17885g1 89425z1 Quadratic twists by: 5 -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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