Cremona's table of elliptic curves

Curve 40290u2

40290 = 2 · 3 · 5 · 17 · 79



Data for elliptic curve 40290u2

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 17- 79+ Signs for the Atkin-Lehner involutions
Class 40290u Isogeny class
Conductor 40290 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 170405871681600 = 26 · 310 · 52 · 172 · 792 Discriminant
Eigenvalues 2- 3+ 5+  4 -4  2 17- -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-34336,-2381311] [a1,a2,a3,a4,a6]
Generators [-826:2621:8] Generators of the group modulo torsion
j 4476860929123250689/170405871681600 j-invariant
L 8.0408332136025 L(r)(E,1)/r!
Ω 0.35154321279769 Real period
R 3.812159700847 Regulator
r 1 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 120870k2 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
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