Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540q |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32348160 |
Modular degree for the optimal curve |
Δ |
3.0566498475198E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170505048,163708182628] |
[a1,a2,a3,a4,a6] |
Generators |
[121220952670664:503436636759299346:1308979566019] |
Generators of the group modulo torsion |
j |
2937432816533527188545536/1637865358967637028125 |
j-invariant |
L |
7.3828984802198 |
L(r)(E,1)/r! |
Ω |
0.047182474586355 |
Real period |
R |
26.079240031902 |
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 |
24180h1 |
Quadratic twists by: -3 |