Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528ba |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
47496960 |
Modular degree for the optimal curve |
Δ |
-4.0493828566794E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3332591200,74048227453556] |
[a1,a2,a3,a4,a6] |
Generators |
[32975:111834:1] |
Generators of the group modulo torsion |
j |
-999332228994539284564820200801/9886188614939836416 |
j-invariant |
L |
10.01476252004 |
L(r)(E,1)/r! |
Ω |
0.080134092322134 |
Real period |
R |
4.4633947929722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566m1 |
Quadratic twists by: -4 |