Cremona's table of elliptic curves

Curve 50050p2

50050 = 2 · 52 · 7 · 11 · 13



Data for elliptic curve 50050p2

Field Data Notes
Atkin-Lehner 2+ 5+ 7- 11+ 13- Signs for the Atkin-Lehner involutions
Class 50050p Isogeny class
Conductor 50050 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 39140664062500 = 22 · 510 · 72 · 112 · 132 Discriminant
Eigenvalues 2+  0 5+ 7- 11+ 13- -6 -8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-13567,-525159] [a1,a2,a3,a4,a6]
Generators [-72:309:1] Generators of the group modulo torsion
j 17675559395649/2505002500 j-invariant
L 3.3986074055908 L(r)(E,1)/r!
Ω 0.44653415639585 Real period
R 1.9027701223288 Regulator
r 1 Rank of the group of rational points
S 1.0000000000099 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 10010m2 Quadratic twists by: 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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