Cremona's table of elliptic curves

Curve 68355bb2

68355 = 32 · 5 · 72 · 31



Data for elliptic curve 68355bb2

Field Data Notes
Atkin-Lehner 3- 5- 7- 31+ Signs for the Atkin-Lehner involutions
Class 68355bb Isogeny class
Conductor 68355 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ -12277056143966355 = -1 · 36 · 5 · 76 · 315 Discriminant
Eigenvalues  2 3- 5- 7- -2  6 -7  5 Hecke eigenvalues for primes up to 20
Equation [0,0,1,-370587,-86996205] [a1,a2,a3,a4,a6]
j -65626385453056/143145755 j-invariant
L 4.8368237056159 L(r)(E,1)/r!
Ω 0.096736474253701 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 25 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 7595c2 1395c2 Quadratic twists by: -3 -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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