Cremona's table of elliptic curves

Curve 30222p2

30222 = 2 · 32 · 23 · 73



Data for elliptic curve 30222p2

Field Data Notes
Atkin-Lehner 2- 3- 23- 73- Signs for the Atkin-Lehner involutions
Class 30222p Isogeny class
Conductor 30222 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ 704465288102088 = 23 · 310 · 234 · 732 Discriminant
Eigenvalues 2- 3-  0  4 -2  4 -6 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-38345,-2583039] [a1,a2,a3,a4,a6]
Generators [-123:572:1] Generators of the group modulo torsion
j 8552868444087625/966344702472 j-invariant
L 9.7316090721947 L(r)(E,1)/r!
Ω 0.34367974580519 Real period
R 2.3596602144328 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 10074h2 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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