Cremona's table of elliptic curves

Curve 45024i2

45024 = 25 · 3 · 7 · 67



Data for elliptic curve 45024i2

Field Data Notes
Atkin-Lehner 2- 3+ 7- 67+ Signs for the Atkin-Lehner involutions
Class 45024i Isogeny class
Conductor 45024 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 1089220608 = 212 · 34 · 72 · 67 Discriminant
Eigenvalues 2- 3+  0 7- -4  0  2  6 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-273,801] [a1,a2,a3,a4,a6]
Generators [-15:36:1] Generators of the group modulo torsion
j 551368000/265923 j-invariant
L 4.9573846293692 L(r)(E,1)/r!
Ω 1.3801223142332 Real period
R 0.89799733296208 Regulator
r 1 Rank of the group of rational points
S 0.99999999999953 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 45024c2 90048y1 Quadratic twists by: -4 8


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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