Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bn |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13418496 |
Modular degree for the optimal curve |
Δ |
-8.1725276200529E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19970960,26672152000] |
[a1,a2,a3,a4,a6] |
Generators |
[11206335632342609506488:-2315620140155443475164160:265484450906567243] |
Generators of the group modulo torsion |
j |
215060458751101009927439/199524600098946662400 |
j-invariant |
L |
6.9540070792422 |
L(r)(E,1)/r! |
Ω |
0.058438011971044 |
Real period |
R |
29.749502257572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bg1 |
Quadratic twists by: -4 |