Cremona's table of elliptic curves

Curve 113050ch1

113050 = 2 · 52 · 7 · 17 · 19



Data for elliptic curve 113050ch1

Field Data Notes
Atkin-Lehner 2- 5+ 7- 17- 19+ Signs for the Atkin-Lehner involutions
Class 113050ch Isogeny class
Conductor 113050 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 860160 Modular degree for the optimal curve
Δ 7507226562500 = 22 · 511 · 7 · 172 · 19 Discriminant
Eigenvalues 2- -2 5+ 7-  4  4 17- 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,0,-216188,-38707508] [a1,a2,a3,a4,a6]
j 71515233843976441/480462500 j-invariant
L 3.9853299915097 L(r)(E,1)/r!
Ω 0.22140724263018 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 9 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 22610e1 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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