Cremona's table of elliptic curves

Curve 5694d2

5694 = 2 · 3 · 13 · 73



Data for elliptic curve 5694d2

Field Data Notes
Atkin-Lehner 2- 3+ 13- 73+ Signs for the Atkin-Lehner involutions
Class 5694d Isogeny class
Conductor 5694 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ -29222701248 = -1 · 26 · 3 · 134 · 732 Discriminant
Eigenvalues 2- 3+  0  0  2 13-  0 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,767,-577] [a1,a2,a3,a4,a6]
Generators [19:136:1] Generators of the group modulo torsion
j 49896997643375/29222701248 j-invariant
L 5.0807303959087 L(r)(E,1)/r!
Ω 0.69389811416868 Real period
R 0.61016767593655 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 45552n2 17082e2 74022e2 Quadratic twists by: -4 -3 13


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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