Cremona's table of elliptic curves

Curve 122550z1

122550 = 2 · 3 · 52 · 19 · 43



Data for elliptic curve 122550z1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 19- 43- Signs for the Atkin-Lehner involutions
Class 122550z Isogeny class
Conductor 122550 Conductor
∏ cp 72 Product of Tamagawa factors cp
deg 8515584 Modular degree for the optimal curve
Δ 1.1329265221632E+21 Discriminant
Eigenvalues 2+ 3- 5+ -4  2 -4 -2 19- Hecke eigenvalues for primes up to 20
Equation [1,0,1,-4135626,-2803286852] [a1,a2,a3,a4,a6]
j 500642029281144301201/72507297418444800 j-invariant
L 1.9240377821531 L(r)(E,1)/r!
Ω 0.10689104799568 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 24510l1 Quadratic twists by: 5


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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