Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925bo |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
654336 |
Modular degree for the optimal curve |
Δ |
1897575427125 = 37 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-111585,14346706] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-1103:1] [-44:4378:1] |
Generators of the group modulo torsion |
j |
1686178797645824/20823873 |
j-invariant |
L |
5.9290491887586 |
L(r)(E,1)/r! |
Ω |
0.75704112423563 |
Real period |
R |
0.32632800020956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975q1 92925bb1 |
Quadratic twists by: -3 5 |