Atkin-Lehner |
3- 7+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557m |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25374720 |
Modular degree for the optimal curve |
Δ |
1.3460537028104E+25 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160035314,-758944868664] |
[a1,a2,a3,a4,a6] |
Generators |
[-1021042031631544719256722144740:20452148507693811243010807171152:140137716973426431031433375] |
Generators of the group modulo torsion |
j |
621789895464758247922848217/18464385498085656594297 |
j-invariant |
L |
5.1175344042618 |
L(r)(E,1)/r! |
Ω |
0.042524025056578 |
Real period |
R |
40.114847861633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519d1 |
Quadratic twists by: -3 |