Cremona's table of elliptic curves

Curve 123725h1

123725 = 52 · 72 · 101



Data for elliptic curve 123725h1

Field Data Notes
Atkin-Lehner 5+ 7- 101+ Signs for the Atkin-Lehner involutions
Class 123725h Isogeny class
Conductor 123725 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 495936 Modular degree for the optimal curve
Δ -244644751277675 = -1 · 52 · 713 · 101 Discriminant
Eigenvalues -2  0 5+ 7-  0 -4 -6  2 Hecke eigenvalues for primes up to 20
Equation [0,0,1,13475,-451474] [a1,a2,a3,a4,a6]
j 91998720000/83177843 j-invariant
L 0.60934979658663 L(r)(E,1)/r!
Ω 0.30467392160894 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 123725v1 17675c1 Quadratic twists by: 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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