Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386r |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1402447610592 = 25 · 36 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38459913,91813394861] |
[a1,a2,a3,a4,a6] |
Generators |
[96771:-57796:27] |
Generators of the group modulo torsion |
j |
73355527176398544897/16352 |
j-invariant |
L |
4.0968415768786 |
L(r)(E,1)/r! |
Ω |
0.34773572386288 |
Real period |
R |
5.8907401457573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154j3 9198d3 |
Quadratic twists by: -3 -7 |