Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bb |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3402498150000 = -1 · 24 · 36 · 55 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 4 -3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6940,237275] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-255:1] |
Generators of the group modulo torsion |
j |
-2310706137001216/212656134375 |
j-invariant |
L |
9.428719552147 |
L(r)(E,1)/r! |
Ω |
0.77498953478007 |
Real period |
R |
0.13518060034255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38760d1 |
Quadratic twists by: -4 |