Atkin-Lehner |
5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1225i |
Isogeny class |
Conductor |
1225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3861966294921875 = -1 · 59 · 711 |
Discriminant |
Eigenvalues |
2 -1 5- 7- -3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-181708,-29902307] |
[a1,a2,a3,a4,a6] |
Generators |
[818186:261653871:8] |
Generators of the group modulo torsion |
j |
-2887553024/16807 |
j-invariant |
L |
3.9592512237337 |
L(r)(E,1)/r! |
Ω |
0.1155778828619 |
Real period |
R |
8.5640330262503 |
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 |
19600ds2 78400ej2 11025bq2 1225j2 |
Quadratic twists by: -4 8 -3 5 |