Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925x |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-1.6747188921022E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 11- -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,290175,-187475094] |
[a1,a2,a3,a4,a6] |
Generators |
[7259:620014:1] |
Generators of the group modulo torsion |
j |
237222641291264/1470260755755 |
j-invariant |
L |
2.3009971940662 |
L(r)(E,1)/r! |
Ω |
0.10975438331242 |
Real period |
R |
2.6206210682147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18975n1 11385k1 |
Quadratic twists by: -3 5 |