Atkin-Lehner |
3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319a |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1169295237 = -1 · 33 · 112 · 713 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11- -4 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,159,1414] |
[a1,a2,a3,a4,a6] |
j |
135590301/357911 |
j-invariant |
L |
2.1596204776944 |
L(r)(E,1)/r! |
Ω |
1.0798102236145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319d1 77319b1 |
Quadratic twists by: -3 -11 |