Cremona's table of elliptic curves

Curve 12342bb1

12342 = 2 · 3 · 112 · 17



Data for elliptic curve 12342bb1

Field Data Notes
Atkin-Lehner 2- 3- 11- 17+ Signs for the Atkin-Lehner involutions
Class 12342bb Isogeny class
Conductor 12342 Conductor
∏ cp 3 Product of Tamagawa factors cp
deg 4176 Modular degree for the optimal curve
Δ -32101542 = -1 · 2 · 33 · 112 · 173 Discriminant
Eigenvalues 2- 3-  0  4 11-  4 17+  4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-173,903] [a1,a2,a3,a4,a6]
j -4734057625/265302 j-invariant
L 6.1580865008296 L(r)(E,1)/r!
Ω 2.0526955002765 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 98736bs1 37026r1 12342p1 Quadratic twists by: -4 -3 -11


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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