Cremona's table of elliptic curves

Curve 100464bp1

100464 = 24 · 3 · 7 · 13 · 23



Data for elliptic curve 100464bp1

Field Data Notes
Atkin-Lehner 2- 3- 7+ 13- 23+ Signs for the Atkin-Lehner involutions
Class 100464bp Isogeny class
Conductor 100464 Conductor
∏ cp 72 Product of Tamagawa factors cp
deg 33619968 Modular degree for the optimal curve
Δ 5.7628010465404E+22 Discriminant
Eigenvalues 2- 3- -2 7+  0 13- -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1092273904,13894211970260] [a1,a2,a3,a4,a6]
j 35185071518153330625706314097/14069338492530327552 j-invariant
L 1.6280373467377 L(r)(E,1)/r!
Ω 0.090446517043448 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 12558p1 Quadratic twists by: -4


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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