Cremona's table of elliptic curves

Curve 30400d3

30400 = 26 · 52 · 19



Data for elliptic curve 30400d3

Field Data Notes
Atkin-Lehner 2+ 5+ 19+ Signs for the Atkin-Lehner involutions
Class 30400d Isogeny class
Conductor 30400 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -1.0445360463872E+19 Discriminant
Eigenvalues 2+  1 5+  1  6  5 -3 19+ Hecke eigenvalues for primes up to 20
Equation [0,1,0,-136833,-156757537] [a1,a2,a3,a4,a6]
Generators [359904187038:-1218482136125:573856191] Generators of the group modulo torsion
j -69173457625/2550136832 j-invariant
L 7.4779859554382 L(r)(E,1)/r!
Ω 0.099645067739014 Real period
R 18.761555702446 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 30400br3 950e3 1216b3 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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