Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600db |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-303038464000000000 = -1 · 229 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- -3 3 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264208,58686912] |
[a1,a2,a3,a4,a6] |
Generators |
[3169362:26571250:9261] |
Generators of the group modulo torsion |
j |
-882216989/131072 |
j-invariant |
L |
10.655436700734 |
L(r)(E,1)/r! |
Ω |
0.29637519379926 |
Real period |
R |
8.9881313865499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bk1 115600dc1 115600dh2 |
Quadratic twists by: -4 5 17 |