Cremona's table of elliptic curves

Curve 57222bc1

57222 = 2 · 32 · 11 · 172



Data for elliptic curve 57222bc1

Field Data Notes
Atkin-Lehner 2+ 3- 11- 17- Signs for the Atkin-Lehner involutions
Class 57222bc Isogeny class
Conductor 57222 Conductor
∏ cp 120 Product of Tamagawa factors cp
deg 131604480 Modular degree for the optimal curve
Δ -7.3847279252305E+28 Discriminant
Eigenvalues 2+ 3- -2  1 11-  7 17- -7 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-12183965793,-517805967176451] [a1,a2,a3,a4,a6]
j -39334245666480232823953/14521637786211072 j-invariant
L 0.86217220866912 L(r)(E,1)/r!
Ω 0.0071847684018476 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 19074bd1 57222e1 Quadratic twists by: -3 17


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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