Cremona's table of elliptic curves

Curve 75705l2

75705 = 3 · 5 · 72 · 103



Data for elliptic curve 75705l2

Field Data Notes
Atkin-Lehner 3+ 5- 7- 103- Signs for the Atkin-Lehner involutions
Class 75705l Isogeny class
Conductor 75705 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 866925618742575 = 34 · 52 · 79 · 1032 Discriminant
Eigenvalues  1 3+ 5- 7-  2  4  0  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-52357,4366426] [a1,a2,a3,a4,a6]
j 393349474783/21483225 j-invariant
L 1.9703363548083 L(r)(E,1)/r!
Ω 0.49258409485906 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 75705p2 Quadratic twists by: -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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