Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784q |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-31261159604224 = -1 · 214 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 0 -1 4 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358523,82627754] |
[a1,a2,a3,a4,a6] |
Generators |
[55:7942:1] |
Generators of the group modulo torsion |
j |
-84985354223649/521284 |
j-invariant |
L |
5.4026611083256 |
L(r)(E,1)/r! |
Ω |
0.58717731386114 |
Real period |
R |
0.766756052046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598q1 36784z1 |
Quadratic twists by: -4 -11 |