Cremona's table of elliptic curves

Curve 124488bn2

124488 = 23 · 32 · 7 · 13 · 19



Data for elliptic curve 124488bn2

Field Data Notes
Atkin-Lehner 2- 3- 7+ 13- 19- Signs for the Atkin-Lehner involutions
Class 124488bn Isogeny class
Conductor 124488 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 131774087857112064 = 210 · 316 · 72 · 132 · 192 Discriminant
Eigenvalues 2- 3- -2 7+ -4 13- -6 19- Hecke eigenvalues for primes up to 20
Equation [0,0,0,-135651,-8047730] [a1,a2,a3,a4,a6]
Generators [-213:3344:1] Generators of the group modulo torsion
j 369798568933252/176523501609 j-invariant
L 3.6452388052041 L(r)(E,1)/r!
Ω 0.26077450836387 Real period
R 3.4946272560573 Regulator
r 1 Rank of the group of rational points
S 0.99999999636535 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 41496o2 Quadratic twists by: -3


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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