Cremona's table of elliptic curves

Curve 7950r1

7950 = 2 · 3 · 52 · 53



Data for elliptic curve 7950r1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 53+ Signs for the Atkin-Lehner involutions
Class 7950r Isogeny class
Conductor 7950 Conductor
∏ cp 22 Product of Tamagawa factors cp
deg 2090880 Modular degree for the optimal curve
Δ -4694395500000000000 = -1 · 211 · 311 · 512 · 53 Discriminant
Eigenvalues 2+ 3- 5+ -5 -5  2 -8  3 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-216716001,-1227979079852] [a1,a2,a3,a4,a6]
j -72040483310118508805967361/300441312000000 j-invariant
L 0.43283213356133 L(r)(E,1)/r!
Ω 0.019674187889151 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 63600bt1 23850cv1 1590r1 Quadratic twists by: -4 -3 5


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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