Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035x |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
-5184517159768905 = -1 · 321 · 5 · 73 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -1 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5172143,4528746416] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:68911:1] |
Generators of the group modulo torsion |
j |
-72628961394279272329/24608375505 |
j-invariant |
L |
3.8730285018259 |
L(r)(E,1)/r! |
Ω |
0.34743131406141 |
Real period |
R |
0.92896743102657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30345bi1 91035bl1 |
Quadratic twists by: -3 17 |