Cremona's table of elliptic curves

Curve 45864o2

45864 = 23 · 32 · 72 · 13



Data for elliptic curve 45864o2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 13+ Signs for the Atkin-Lehner involutions
Class 45864o Isogeny class
Conductor 45864 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 1.0976119617448E+21 Discriminant
Eigenvalues 2+ 3- -2 7-  4 13+ -6 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-4976391,-3964424870] [a1,a2,a3,a4,a6]
Generators [-93334639:-1281253464:79507] Generators of the group modulo torsion
j 620742479063632/49991146569 j-invariant
L 4.6184588384668 L(r)(E,1)/r!
Ω 0.10159807443941 Real period
R 11.364533392847 Regulator
r 1 Rank of the group of rational points
S 1.0000000000009 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 91728bb2 15288bc2 6552m2 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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