Cremona's table of elliptic curves

Curve 115600b2

115600 = 24 · 52 · 172



Data for elliptic curve 115600b2

Field Data Notes
Atkin-Lehner 2+ 5+ 17+ Signs for the Atkin-Lehner involutions
Class 115600b Isogeny class
Conductor 115600 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 2413756900000000 = 28 · 58 · 176 Discriminant
Eigenvalues 2+  0 5+  4  4  2 17+ -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-50575,3684750] [a1,a2,a3,a4,a6]
Generators [163813:1258824:2197] Generators of the group modulo torsion
j 148176/25 j-invariant
L 8.4263728088204 L(r)(E,1)/r!
Ω 0.43796216382067 Real period
R 9.6199780178232 Regulator
r 1 Rank of the group of rational points
S 1.0000000037542 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 57800s2 23120a2 400a2 Quadratic twists by: -4 5 17


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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