Cremona's table of elliptic curves

Curve 116800b1

116800 = 26 · 52 · 73



Data for elliptic curve 116800b1

Field Data Notes
Atkin-Lehner 2+ 5+ 73+ Signs for the Atkin-Lehner involutions
Class 116800b Isogeny class
Conductor 116800 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 98304 Modular degree for the optimal curve
Δ 299008000000 = 218 · 56 · 73 Discriminant
Eigenvalues 2+  0 5+ -2  2 -6 -2 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1900,-18000] [a1,a2,a3,a4,a6]
Generators [-35:75:1] Generators of the group modulo torsion
j 185193/73 j-invariant
L 3.3788418157237 L(r)(E,1)/r!
Ω 0.74798015502431 Real period
R 2.258644037665 Regulator
r 1 Rank of the group of rational points
S 0.99999999433204 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 116800bk1 1825a1 4672a1 Quadratic twists by: -4 8 5


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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