Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162cy |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-4820302138369277952 = -1 · 215 · 321 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9429125,-11142504579] |
[a1,a2,a3,a4,a6] |
Generators |
[4097:135732:1] |
Generators of the group modulo torsion |
j |
-370779914507467657375/19277584367616 |
j-invariant |
L |
9.5076116378302 |
L(r)(E,1)/r! |
Ω |
0.043077486954631 |
Real period |
R |
1.8392460327446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054c1 36162cd1 |
Quadratic twists by: -3 -7 |