Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050t |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-1.086029208E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5057208,-2446280384] |
[a1,a2,a3,a4,a6] |
Generators |
[68909:18063983:1] |
Generators of the group modulo torsion |
j |
1255765531597770311/953441280000000 |
j-invariant |
L |
5.1855777134598 |
L(r)(E,1)/r! |
Ω |
0.071505364586672 |
Real period |
R |
4.5325075770756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350bm1 18810bd1 |
Quadratic twists by: -3 5 |