Cremona's table of elliptic curves

Curve 91728h2

91728 = 24 · 32 · 72 · 13



Data for elliptic curve 91728h2

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 13- Signs for the Atkin-Lehner involutions
Class 91728h Isogeny class
Conductor 91728 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 549716364288 = 210 · 33 · 76 · 132 Discriminant
Eigenvalues 2+ 3+  2 7-  4 13-  0 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-2499,32242] [a1,a2,a3,a4,a6]
Generators [11:78:1] Generators of the group modulo torsion
j 530604/169 j-invariant
L 8.8027697460122 L(r)(E,1)/r!
Ω 0.85309210876632 Real period
R 2.5796656827591 Regulator
r 1 Rank of the group of rational points
S 0.99999999967555 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 45864e2 91728j2 1872b2 Quadratic twists by: -4 -3 -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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