Cremona's table of elliptic curves

Curve 55815j1

55815 = 3 · 5 · 612



Data for elliptic curve 55815j1

Field Data Notes
Atkin-Lehner 3- 5+ 61+ Signs for the Atkin-Lehner involutions
Class 55815j Isogeny class
Conductor 55815 Conductor
∏ cp 6 Product of Tamagawa factors cp
deg 535680 Modular degree for the optimal curve
Δ -10606757071570875 = -1 · 33 · 53 · 617 Discriminant
Eigenvalues -2 3- 5+ -1 -4  4 -4 -1 Hecke eigenvalues for primes up to 20
Equation [0,1,1,-23566,-5154860] [a1,a2,a3,a4,a6]
j -28094464/205875 j-invariant
L 1.0233010657886 L(r)(E,1)/r!
Ω 0.17055017805152 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 915c1 Quadratic twists by: 61


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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