Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725k |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
5568183004018359375 = 34 · 58 · 711 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 3 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-952700,339037125] |
[a1,a2,a3,a4,a6] |
Generators |
[703764:12692609:729] |
Generators of the group modulo torsion |
j |
244812103422156265/14254548490287 |
j-invariant |
L |
5.3411067936873 |
L(r)(E,1)/r! |
Ω |
0.23692124051319 |
Real period |
R |
11.271903654803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725s1 |
Quadratic twists by: 5 |