Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064c |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-223445794404578304 = -1 · 210 · 3 · 139 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-446216,-116810916] |
[a1,a2,a3,a4,a6] |
Generators |
[136130:3277924:125] |
Generators of the group modulo torsion |
j |
-1987925163844/45207669 |
j-invariant |
L |
3.6802393282415 |
L(r)(E,1)/r! |
Ω |
0.092235681851247 |
Real period |
R |
4.9875482767777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5928k1 |
Quadratic twists by: 13 |