Cremona's table of elliptic curves

Curve 117600cg1

117600 = 25 · 3 · 52 · 72



Data for elliptic curve 117600cg1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7+ Signs for the Atkin-Lehner involutions
Class 117600cg Isogeny class
Conductor 117600 Conductor
∏ cp 22 Product of Tamagawa factors cp
deg 532224 Modular degree for the optimal curve
Δ -1633947524395200 = -1 · 26 · 311 · 52 · 78 Discriminant
Eigenvalues 2+ 3- 5+ 7+  2 -3  6 -1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2858,-1946652] [a1,a2,a3,a4,a6]
j -280000/177147 j-invariant
L 4.6923859413526 L(r)(E,1)/r!
Ω 0.2132902943338 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 117600e1 117600fm1 117600t1 Quadratic twists by: -4 5 -7


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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