Cremona's table of elliptic curves

Curve 18396g2

18396 = 22 · 32 · 7 · 73



Data for elliptic curve 18396g2

Field Data Notes
Atkin-Lehner 2- 3- 7+ 73+ Signs for the Atkin-Lehner involutions
Class 18396g Isogeny class
Conductor 18396 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 22350232221859584 = 28 · 320 · 73 · 73 Discriminant
Eigenvalues 2- 3- -2 7+  4 -2  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1195311,502950310] [a1,a2,a3,a4,a6]
Generators [333828:23617921:64] Generators of the group modulo torsion
j 1012043003911031248/119760760791 j-invariant
L 4.1398709639662 L(r)(E,1)/r!
Ω 0.36652514440256 Real period
R 11.294916671309 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 73584bd2 6132e2 128772m2 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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