Atkin-Lehner |
3- 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112575k |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-190625006484375 = -1 · 3 · 57 · 194 · 792 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-237651,44577073] |
[a1,a2,a3,a4,a6] |
Generators |
[18004:-4531:64] |
Generators of the group modulo torsion |
j |
-94999210792865569/12200000415 |
j-invariant |
L |
11.085076799885 |
L(r)(E,1)/r! |
Ω |
0.54607827423939 |
Real period |
R |
2.5374285441944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515b1 |
Quadratic twists by: 5 |