Cremona's table of elliptic curves

Curve 78498cb2

78498 = 2 · 32 · 72 · 89



Data for elliptic curve 78498cb2

Field Data Notes
Atkin-Lehner 2- 3- 7- 89- Signs for the Atkin-Lehner involutions
Class 78498cb Isogeny class
Conductor 78498 Conductor
∏ cp 112 Product of Tamagawa factors cp
Δ 86957240888448 = 27 · 36 · 76 · 892 Discriminant
Eigenvalues 2- 3-  2 7-  0  4  2  2 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-301874,63912881] [a1,a2,a3,a4,a6]
Generators [163:4279:1] Generators of the group modulo torsion
j 35471840526793/1013888 j-invariant
L 12.853465675901 L(r)(E,1)/r!
Ω 0.56308613752963 Real period
R 0.8152435566545 Regulator
r 1 Rank of the group of rational points
S 1.0000000002296 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 8722i2 1602c2 Quadratic twists by: -3 -7


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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