Cremona's table of elliptic curves

Curve 71175b1

71175 = 3 · 52 · 13 · 73



Data for elliptic curve 71175b1

Field Data Notes
Atkin-Lehner 3+ 5+ 13+ 73- Signs for the Atkin-Lehner involutions
Class 71175b Isogeny class
Conductor 71175 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 115200 Modular degree for the optimal curve
Δ 11382617390625 = 310 · 56 · 132 · 73 Discriminant
Eigenvalues  1 3+ 5+  2  0 13+  0  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-8450,-254625] [a1,a2,a3,a4,a6]
j 4271241390625/728487513 j-invariant
L 1.0074645331835 L(r)(E,1)/r!
Ω 0.50373226621315 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 2847b1 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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