Cremona's table of elliptic curves

Curve 48048cs1

48048 = 24 · 3 · 7 · 11 · 13



Data for elliptic curve 48048cs1

Field Data Notes
Atkin-Lehner 2- 3- 7- 11+ 13+ Signs for the Atkin-Lehner involutions
Class 48048cs Isogeny class
Conductor 48048 Conductor
∏ cp 9 Product of Tamagawa factors cp
deg 95040 Modular degree for the optimal curve
Δ -916728164352 = -1 · 212 · 33 · 73 · 11 · 133 Discriminant
Eigenvalues 2- 3-  4 7- 11+ 13+ -2  6 Hecke eigenvalues for primes up to 20
Equation [0,1,0,699,45747] [a1,a2,a3,a4,a6]
j 9208180736/223810587 j-invariant
L 5.9713069006208 L(r)(E,1)/r!
Ω 0.66347854458263 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 3003b1 Quadratic twists by: -4


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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