Cremona's table of elliptic curves

Curve 113344bw1

113344 = 26 · 7 · 11 · 23



Data for elliptic curve 113344bw1

Field Data Notes
Atkin-Lehner 2+ 7- 11- 23- Signs for the Atkin-Lehner involutions
Class 113344bw Isogeny class
Conductor 113344 Conductor
∏ cp 160 Product of Tamagawa factors cp
deg 3440640 Modular degree for the optimal curve
Δ -5.5908324084915E+20 Discriminant
Eigenvalues 2+  0 -2 7- 11-  0  0  2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-7577036,-8108016016] [a1,a2,a3,a4,a6]
j -183519341483677631433/2132733310124032 j-invariant
L 1.8186704378356 L(r)(E,1)/r!
Ω 0.045466769798077 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 113344ch1 3542d1 Quadratic twists by: -4 8


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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