Cremona's table of elliptic curves

Curve 57904i2

57904 = 24 · 7 · 11 · 47



Data for elliptic curve 57904i2

Field Data Notes
Atkin-Lehner 2- 7+ 11+ 47+ Signs for the Atkin-Lehner involutions
Class 57904i Isogeny class
Conductor 57904 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -12186093529071616 = -1 · 236 · 73 · 11 · 47 Discriminant
Eigenvalues 2-  2 -3 7+ 11+  2  3 -8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-949432,356433264] [a1,a2,a3,a4,a6]
j -23107651939347894073/2975120490496 j-invariant
L 1.5447695061711 L(r)(E,1)/r!
Ω 0.38619237688201 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 7238d2 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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