Cremona's table of elliptic curves

Curve 1113b2

1113 = 3 · 7 · 53



Data for elliptic curve 1113b2

Field Data Notes
Atkin-Lehner 3+ 7+ 53+ Signs for the Atkin-Lehner involutions
Class 1113b Isogeny class
Conductor 1113 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 176967 = 32 · 7 · 532 Discriminant
Eigenvalues -1 3+ -2 7+ -2  2  8  0 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-34,-88] [a1,a2,a3,a4,a6]
Generators [-4:3:1] Generators of the group modulo torsion
j 4354703137/176967 j-invariant
L 1.2614945533195 L(r)(E,1)/r!
Ω 1.981757894962 Real period
R 0.63655331285745 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 17808z2 71232bh2 3339b2 27825p2 Quadratic twists by: -4 8 -3 5


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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