Atkin-Lehner |
2- 3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906br |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
552 |
Product of Tamagawa factors cp |
deg |
4504320 |
Modular degree for the optimal curve |
Δ |
-1.8354024016833E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4899164,7741168287] |
[a1,a2,a3,a4,a6] |
Generators |
[-1611:107813:1] |
Generators of the group modulo torsion |
j |
-17838652027865080874617/25176987677411508224 |
j-invariant |
L |
6.4368016786841 |
L(r)(E,1)/r! |
Ω |
0.11032816171151 |
Real period |
R |
0.1056926212252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434b1 |
Quadratic twists by: -3 |