Cremona's table of elliptic curves

Curve 30576v6

30576 = 24 · 3 · 72 · 13



Data for elliptic curve 30576v6

Field Data Notes
Atkin-Lehner 2+ 3- 7- 13+ Signs for the Atkin-Lehner involutions
Class 30576v Isogeny class
Conductor 30576 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 855114344448 = 211 · 3 · 77 · 132 Discriminant
Eigenvalues 2+ 3-  2 7-  4 13+ -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-7419792,-7781687628] [a1,a2,a3,a4,a6]
Generators [76935665141165:3442134944753358:18295397875] Generators of the group modulo torsion
j 187491149065688834/3549 j-invariant
L 8.2214695154789 L(r)(E,1)/r!
Ω 0.091474831273392 Real period
R 22.469212025402 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 15288u5 122304gh6 91728ba6 4368d5 Quadratic twists by: -4 8 -3 -7


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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