Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gf |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
-9.09836111316E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18776901,-31651743013] |
[a1,a2,a3,a4,a6] |
Generators |
[12920930:4150471941:125] |
Generators of the group modulo torsion |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
10.376383015919 |
L(r)(E,1)/r! |
Ω |
0.036236169106661 |
Real period |
R |
7.1588575654072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492s1 40656by1 11088bn1 |
Quadratic twists by: -4 -3 -11 |