Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bn |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.4990527444959E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -5 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,607960,-559897725] |
[a1,a2,a3,a4,a6] |
Generators |
[11605:1252815:1] |
Generators of the group modulo torsion |
j |
64347918907136/388153407375 |
j-invariant |
L |
7.7843757551135 |
L(r)(E,1)/r! |
Ω |
0.091505006089336 |
Real period |
R |
1.0127439350571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680f1 4080e1 |
Quadratic twists by: -4 17 |