Cremona's table of elliptic curves

Curve 107712bx2

107712 = 26 · 32 · 11 · 17



Data for elliptic curve 107712bx2

Field Data Notes
Atkin-Lehner 2+ 3- 11- 17+ Signs for the Atkin-Lehner involutions
Class 107712bx Isogeny class
Conductor 107712 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 60144119709696 = 218 · 38 · 112 · 172 Discriminant
Eigenvalues 2+ 3-  2  0 11-  2 17+ -8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-9804,-19600] [a1,a2,a3,a4,a6]
Generators [2548:128520:1] Generators of the group modulo torsion
j 545338513/314721 j-invariant
L 8.5915364192653 L(r)(E,1)/r!
Ω 0.5234636493503 Real period
R 4.1032154003804 Regulator
r 1 Rank of the group of rational points
S 0.99999999872566 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 107712di2 1683e2 35904k2 Quadratic twists by: -4 8 -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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