Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63308p |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-9728160512 = -1 · 28 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 2 7- 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,523,-1343] |
[a1,a2,a3,a4,a6] |
Generators |
[474:3871:8] |
Generators of the group modulo torsion |
j |
524288/323 |
j-invariant |
L |
5.5415312717695 |
L(r)(E,1)/r! |
Ω |
0.7467465319908 |
Real period |
R |
3.7104499547732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1292a1 |
Quadratic twists by: -7 |