Atkin-Lehner |
2- 3+ 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418q |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-258756968448 = -1 · 217 · 33 · 11 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-566,25157] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-221:1] [-258:887:8] |
Generators of the group modulo torsion |
j |
-741463359651/9583591424 |
j-invariant |
L |
13.764467865863 |
L(r)(E,1)/r! |
Ω |
0.83371930952711 |
Real period |
R |
0.24278992074904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77418d1 |
Quadratic twists by: -3 |