Atkin-Lehner |
5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18425b |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-8.7658966229248E+19 |
Discriminant |
Eigenvalues |
-2 2 5+ 2 11+ 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,487592,430813718] |
[a1,a2,a3,a4,a6] |
Generators |
[4193202:416161637:17576] |
Generators of the group modulo torsion |
j |
820488521674059776/5610173838671875 |
j-invariant |
L |
4.0373730016988 |
L(r)(E,1)/r! |
Ω |
0.13900010600118 |
Real period |
R |
7.2614566956956 |
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 |
3685a1 |
Quadratic twists by: 5 |