Atkin-Lehner |
3- 5- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111555n |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4612608 |
Modular degree for the optimal curve |
Δ |
-2.9092443974011E+21 |
Discriminant |
Eigenvalues |
0 3- 5- 0 2 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4391652,-4391186648] |
[a1,a2,a3,a4,a6] |
j |
-12849313939821326761984/3990733055419921875 |
j-invariant |
L |
2.669091038442 |
L(r)(E,1)/r! |
Ω |
0.051328674806342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37185a1 |
Quadratic twists by: -3 |