Cremona's table of elliptic curves

Curve 25270r2

25270 = 2 · 5 · 7 · 192



Data for elliptic curve 25270r2

Field Data Notes
Atkin-Lehner 2- 5+ 7- 19+ Signs for the Atkin-Lehner involutions
Class 25270r Isogeny class
Conductor 25270 Conductor
∏ cp 9 Product of Tamagawa factors cp
Δ -1456340530765750 = -1 · 2 · 53 · 73 · 198 Discriminant
Eigenvalues 2- -2 5+ 7-  0 -4 -3 19+ Hecke eigenvalues for primes up to 20
Equation [1,0,0,-64446,-6564710] [a1,a2,a3,a4,a6]
Generators [11070:398785:8] Generators of the group modulo torsion
j -1742943169/85750 j-invariant
L 4.7019555688705 L(r)(E,1)/r!
Ω 0.14939177598917 Real period
R 3.4971102270726 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 126350f2 25270g2 Quadratic twists by: 5 -19


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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