Cremona's table of elliptic curves

Curve 69312bt3

69312 = 26 · 3 · 192



Data for elliptic curve 69312bt3

Field Data Notes
Atkin-Lehner 2+ 3- 19- Signs for the Atkin-Lehner involutions
Class 69312bt Isogeny class
Conductor 69312 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ -6.2264454787354E+19 Discriminant
Eigenvalues 2+ 3- -2  0  0  2  2 19- Hecke eigenvalues for primes up to 20
Equation [0,1,0,819711,250339167] [a1,a2,a3,a4,a6]
Generators [-222:7581:1] Generators of the group modulo torsion
j 9878111854/10097379 j-invariant
L 7.0382664488099 L(r)(E,1)/r!
Ω 0.12992685151981 Real period
R 2.2571246713892 Regulator
r 1 Rank of the group of rational points
S 0.99999999997434 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 69312cq3 8664i4 3648i4 Quadratic twists by: -4 8 -19


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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