Atkin-Lehner |
2- 3- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32922f |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1401344 |
Modular degree for the optimal curve |
Δ |
-5.3496910295001E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7554830,-7998400227] |
[a1,a2,a3,a4,a6] |
Generators |
[7769:630291:1] |
Generators of the group modulo torsion |
j |
-65413926491632904265625/73383964739371008 |
j-invariant |
L |
9.7800970306593 |
L(r)(E,1)/r! |
Ω |
0.045528587592816 |
Real period |
R |
4.6698308964866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974c1 |
Quadratic twists by: -3 |