Cremona's table of elliptic curves

Curve 60775a1

60775 = 52 · 11 · 13 · 17



Data for elliptic curve 60775a1

Field Data Notes
Atkin-Lehner 5+ 11+ 13- 17+ Signs for the Atkin-Lehner involutions
Class 60775a Isogeny class
Conductor 60775 Conductor
∏ cp 6 Product of Tamagawa factors cp
deg 5992704 Modular degree for the optimal curve
Δ -4.8975825309753E+21 Discriminant
Eigenvalues -1 -1 5+  3 11+ 13- 17+ -7 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-50561088,138399700156] [a1,a2,a3,a4,a6]
j -914856375379243371488569/313445281982421875 j-invariant
L 0.80484528915527 L(r)(E,1)/r!
Ω 0.13414088063117 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 12155a1 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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