Atkin-Lehner |
2- 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410be |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
9208320 |
Modular degree for the optimal curve |
Δ |
-5.4766047211222E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137012,-11259345769] |
[a1,a2,a3,a4,a6] |
Generators |
[868525:808984477:1] |
Generators of the group modulo torsion |
j |
-390183616543210489/75124893293857105920 |
j-invariant |
L |
12.945737373254 |
L(r)(E,1)/r! |
Ω |
0.051156036070099 |
Real period |
R |
5.7514484437797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28470h1 |
Quadratic twists by: -3 |