Atkin-Lehner |
2- 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690ca |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-4706192178000000 = -1 · 27 · 38 · 56 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38758,1496409] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-3129:1] |
Generators of the group modulo torsion |
j |
8832644759403431/6455682000000 |
j-invariant |
L |
12.387391535044 |
L(r)(E,1)/r! |
Ω |
0.27643491173817 |
Real period |
R |
0.17782238622422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230a1 |
Quadratic twists by: -3 |