Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bo |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
353205654181632 = 28 · 314 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72339350,236833524645] |
[a1,a2,a3,a4,a6] |
Generators |
[3635:146169:1] |
Generators of the group modulo torsion |
j |
167427142253565229327375/1412557056 |
j-invariant |
L |
8.8439988021039 |
L(r)(E,1)/r! |
Ω |
0.26699535940472 |
Real period |
R |
1.0351302104349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526c2 25578bp2 |
Quadratic twists by: -3 -7 |