Cremona's table of elliptic curves

Curve 48840u2

48840 = 23 · 3 · 5 · 11 · 37



Data for elliptic curve 48840u2

Field Data Notes
Atkin-Lehner 2- 3- 5+ 11- 37- Signs for the Atkin-Lehner involutions
Class 48840u Isogeny class
Conductor 48840 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -195164640000 = -1 · 28 · 34 · 54 · 11 · 372 Discriminant
Eigenvalues 2- 3- 5+  0 11-  4 -4  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2716,57584] [a1,a2,a3,a4,a6]
Generators [14:150:1] Generators of the group modulo torsion
j -8658306111184/762361875 j-invariant
L 7.3642271882897 L(r)(E,1)/r!
Ω 0.98438018740839 Real period
R 0.46756751624521 Regulator
r 1 Rank of the group of rational points
S 1.0000000000012 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 97680a2 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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