Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725o |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10032000 |
Modular degree for the optimal curve |
Δ |
-8.0283043248072E+25 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 11- -3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,68388625,-372094905469] |
[a1,a2,a3,a4,a6] |
Generators |
[53344286772809028677962450:-29629190119975666178474504441:173033845337495418632] |
Generators of the group modulo torsion |
j |
18111119211345644679168/41104918143012730391 |
j-invariant |
L |
9.9830351350696 |
L(r)(E,1)/r! |
Ω |
0.031586019494976 |
Real period |
R |
39.50733304911 |
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 |
32725t1 |
Quadratic twists by: 5 |