Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600du |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.8073910807101E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5000325,-4828625750] |
[a1,a2,a3,a4,a6] |
Generators |
[802460165:46460044800:389017] |
Generators of the group modulo torsion |
j |
296354077829711/387386634240 |
j-invariant |
L |
8.5262327026119 |
L(r)(E,1)/r! |
Ω |
0.065489435637281 |
Real period |
R |
8.1370306124382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cp1 37200ct1 22320bv1 |
Quadratic twists by: -4 -3 5 |