Cremona's table of elliptic curves

Curve 97290d1

97290 = 2 · 32 · 5 · 23 · 47



Data for elliptic curve 97290d1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 23+ 47+ Signs for the Atkin-Lehner involutions
Class 97290d Isogeny class
Conductor 97290 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 239616 Modular degree for the optimal curve
Δ -817805730240 = -1 · 26 · 37 · 5 · 232 · 472 Discriminant
Eigenvalues 2+ 3- 5+  2  6 -6  2  8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,360,-43520] [a1,a2,a3,a4,a6]
j 7066834559/1121818560 j-invariant
L 1.6869757358727 L(r)(E,1)/r!
Ω 0.42174388929527 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 32430x1 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
Back to Tables and computations