Cremona's table of elliptic curves

Curve 62304v1

62304 = 25 · 3 · 11 · 59



Data for elliptic curve 62304v1

Field Data Notes
Atkin-Lehner 2- 3- 11+ 59+ Signs for the Atkin-Lehner involutions
Class 62304v Isogeny class
Conductor 62304 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 29184 Modular degree for the optimal curve
Δ 30279744 = 26 · 36 · 11 · 59 Discriminant
Eigenvalues 2- 3- -2  2 11+ -6  4  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-874,9656] [a1,a2,a3,a4,a6]
Generators [20:24:1] Generators of the group modulo torsion
j 1154981015488/473121 j-invariant
L 6.7978218237631 L(r)(E,1)/r!
Ω 2.0552075267875 Real period
R 1.1025361567512 Regulator
r 1 Rank of the group of rational points
S 1.0000000000046 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 62304h1 124608s2 Quadratic twists by: -4 8


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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