Cremona's table of elliptic curves

Curve 67431c1

67431 = 3 · 7 · 132 · 19



Data for elliptic curve 67431c1

Field Data Notes
Atkin-Lehner 3+ 7+ 13+ 19- Signs for the Atkin-Lehner involutions
Class 67431c Isogeny class
Conductor 67431 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 193536 Modular degree for the optimal curve
Δ 111638459283897 = 3 · 74 · 138 · 19 Discriminant
Eigenvalues  1 3+ -2 7+  0 13+ -2 19- Hecke eigenvalues for primes up to 20
Equation [1,1,0,-36676,2640019] [a1,a2,a3,a4,a6]
j 1130389181713/23128833 j-invariant
L 0.59271341739691 L(r)(E,1)/r!
Ω 0.59271341936764 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 5187b1 Quadratic twists by: 13


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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