Cremona's table of elliptic curves

Curve 9282h1

9282 = 2 · 3 · 7 · 13 · 17



Data for elliptic curve 9282h1

Field Data Notes
Atkin-Lehner 2+ 3- 7+ 13+ 17- Signs for the Atkin-Lehner involutions
Class 9282h Isogeny class
Conductor 9282 Conductor
∏ cp 28 Product of Tamagawa factors cp
deg 107520 Modular degree for the optimal curve
Δ 2955180493504512 = 220 · 37 · 73 · 13 · 172 Discriminant
Eigenvalues 2+ 3-  0 7+  4 13+ 17-  8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-197361,-33662204] [a1,a2,a3,a4,a6]
Generators [-262:411:1] Generators of the group modulo torsion
j 850167619482740847625/2955180493504512 j-invariant
L 4.0204734582936 L(r)(E,1)/r!
Ω 0.22655583936265 Real period
R 2.5351513904942 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 74256ca1 27846bc1 64974l1 120666ch1 Quadratic twists by: -4 -3 -7 13


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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