Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45177m |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6521472 |
Modular degree for the optimal curve |
Δ |
-9.1928172951678E+22 |
Discriminant |
Eigenvalues |
1 3- 4 0 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10904114,20120476439] |
[a1,a2,a3,a4,a6] |
j |
-1103263596037/707347971 |
j-invariant |
L |
7.1293694269523 |
L(r)(E,1)/r! |
Ω |
0.09901901982336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45177n1 |
Quadratic twists by: 37 |