Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640n |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-2029334243126400000 = -1 · 210 · 312 · 55 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-214256,-78523056] |
[a1,a2,a3,a4,a6] |
Generators |
[616:4860:1] |
Generators of the group modulo torsion |
j |
-1062245159056170436/1981771721803125 |
j-invariant |
L |
6.5174170557379 |
L(r)(E,1)/r! |
Ω |
0.10452294965647 |
Real period |
R |
2.598080563872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280c1 |
Quadratic twists by: -4 |