Cremona's table of elliptic curves

Curve 87822bo1

87822 = 2 · 32 · 7 · 17 · 41



Data for elliptic curve 87822bo1

Field Data Notes
Atkin-Lehner 2- 3- 7- 17+ 41- Signs for the Atkin-Lehner involutions
Class 87822bo Isogeny class
Conductor 87822 Conductor
∏ cp 64 Product of Tamagawa factors cp
deg 90112 Modular degree for the optimal curve
Δ 57363925248 = 28 · 38 · 72 · 17 · 41 Discriminant
Eigenvalues 2- 3-  2 7-  0  4 17+ -6 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-1139,9555] [a1,a2,a3,a4,a6]
Generators [5:60:1] Generators of the group modulo torsion
j 223980311017/78688512 j-invariant
L 13.237148216203 L(r)(E,1)/r!
Ω 1.0228322188631 Real period
R 0.80885383548218 Regulator
r 1 Rank of the group of rational points
S 1.0000000002787 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 29274l1 Quadratic twists by: -3


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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