Atkin-Lehner |
2- 3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526bd |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
29669760 |
Modular degree for the optimal curve |
Δ |
-2.1094617423665E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -1 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77268398,262378890429] |
[a1,a2,a3,a4,a6] |
j |
-69984506253891754834225561/289363750667551461888 |
j-invariant |
L |
9.0416316921677 |
L(r)(E,1)/r! |
Ω |
0.10046257272346 |
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 |
37842i1 |
Quadratic twists by: -3 |