Cremona's table of elliptic curves

Curve 76608dd2

76608 = 26 · 32 · 7 · 19



Data for elliptic curve 76608dd2

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 19- Signs for the Atkin-Lehner involutions
Class 76608dd Isogeny class
Conductor 76608 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -4472296377679872 = -1 · 218 · 39 · 74 · 192 Discriminant
Eigenvalues 2- 3+  0 7+ -2  6  8 19- Hecke eigenvalues for primes up to 20
Equation [0,0,0,-24300,-3532464] [a1,a2,a3,a4,a6]
Generators [3114000:-203383124:729] Generators of the group modulo torsion
j -307546875/866761 j-invariant
L 7.1874053843442 L(r)(E,1)/r!
Ω 0.17720270731916 Real period
R 10.140089694936 Regulator
r 1 Rank of the group of rational points
S 0.99999999982431 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 76608i2 19152be2 76608dc2 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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