Cremona's table of elliptic curves

Curve 76608a2

76608 = 26 · 32 · 7 · 19



Data for elliptic curve 76608a2

Field Data Notes
Atkin-Lehner 2+ 3+ 7+ 19+ Signs for the Atkin-Lehner involutions
Class 76608a Isogeny class
Conductor 76608 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -2973643552222543872 = -1 · 216 · 39 · 72 · 196 Discriminant
Eigenvalues 2+ 3+  4 7+ -2 -2  0 19+ Hecke eigenvalues for primes up to 20
Equation [0,0,0,-134028,85088880] [a1,a2,a3,a4,a6]
Generators [80420:2035448:125] Generators of the group modulo torsion
j -206413976268/2305248169 j-invariant
L 8.0857262333369 L(r)(E,1)/r!
Ω 0.21576696418917 Real period
R 9.3685869211595 Regulator
r 1 Rank of the group of rational points
S 0.99999999980869 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 76608dr2 9576o2 76608b2 Quadratic twists by: -4 8 -3


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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