Cremona's table of elliptic curves

Curve 115440ba1

115440 = 24 · 3 · 5 · 13 · 37



Data for elliptic curve 115440ba1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 13- 37- Signs for the Atkin-Lehner involutions
Class 115440ba Isogeny class
Conductor 115440 Conductor
∏ cp 48 Product of Tamagawa factors cp
deg 147456 Modular degree for the optimal curve
Δ 1635987974400 = 28 · 312 · 52 · 13 · 37 Discriminant
Eigenvalues 2+ 3- 5+ -2 -2 13- -2  0 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-3036,17964] [a1,a2,a3,a4,a6]
Generators [114:-1080:1] [-30:288:1] Generators of the group modulo torsion
j 12092945312464/6390578025 j-invariant
L 12.709623750482 L(r)(E,1)/r!
Ω 0.73927372746188 Real period
R 1.432670029159 Regulator
r 2 Rank of the group of rational points
S 0.99999999986865 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57720g1 Quadratic twists by: -4


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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