Cremona's table of elliptic curves

Curve 78078bz2

78078 = 2 · 3 · 7 · 11 · 132



Data for elliptic curve 78078bz2

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 11+ 13- Signs for the Atkin-Lehner involutions
Class 78078bz Isogeny class
Conductor 78078 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -1.0935445823796E+20 Discriminant
Eigenvalues 2- 3+  0 7+ 11+ 13- -2 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-185143,-504136183] [a1,a2,a3,a4,a6]
Generators [7945321750275:293139464965348:4716275733] Generators of the group modulo torsion
j -66184391125/10312081164 j-invariant
L 7.4227016214022 L(r)(E,1)/r!
Ω 0.083530748704423 Real period
R 22.215476739338 Regulator
r 1 Rank of the group of rational points
S 1.000000000263 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 78078t2 Quadratic twists by: 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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