Cremona's table of elliptic curves

Curve 7956a2

7956 = 22 · 32 · 13 · 17



Data for elliptic curve 7956a2

Field Data Notes
Atkin-Lehner 2- 3- 13+ 17+ Signs for the Atkin-Lehner involutions
Class 7956a Isogeny class
Conductor 7956 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ 45940718543616 = 28 · 37 · 136 · 17 Discriminant
Eigenvalues 2- 3-  2  0 -2 13+ 17+ -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-9039,-55370] [a1,a2,a3,a4,a6]
Generators [107:450:1] Generators of the group modulo torsion
j 437640371152/246167259 j-invariant
L 4.720756548747 L(r)(E,1)/r!
Ω 0.52689178689923 Real period
R 2.9865440217043 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 31824u2 127296bd2 2652e2 103428k2 Quadratic twists by: -4 8 -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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