Cremona's table of elliptic curves

Curve 55811d1

55811 = 72 · 17 · 67



Data for elliptic curve 55811d1

Field Data Notes
Atkin-Lehner 7- 17+ 67+ Signs for the Atkin-Lehner involutions
Class 55811d Isogeny class
Conductor 55811 Conductor
∏ cp 1 Product of Tamagawa factors cp
deg 3858624 Modular degree for the optimal curve
Δ -92982660188579 = -1 · 710 · 173 · 67 Discriminant
Eigenvalues  2  0 -1 7- -3  0 17+  1 Hecke eigenvalues for primes up to 20
Equation [0,0,1,-179602003,-926434836343] [a1,a2,a3,a4,a6]
j -2268176462762993750016/329171 j-invariant
L 0.020620148142512 L(r)(E,1)/r!
Ω 0.020620147381829 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 55811a1 Quadratic twists by: -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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