Atkin-Lehner |
3- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805l |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-990235943418434895 = -1 · 320 · 5 · 72 · 132 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229792,22181546] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:3127:1] |
Generators of the group modulo torsion |
j |
1840783321667351879/1358348344881255 |
j-invariant |
L |
2.7424370004296 |
L(r)(E,1)/r! |
Ω |
0.1772442409652 |
Real period |
R |
3.8681609380197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935p1 |
Quadratic twists by: -3 |