Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63920l |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
434656000 = 28 · 53 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -5 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340,-2312] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [51:340:1] |
Generators of the group modulo torsion |
j |
17029316176/1697875 |
j-invariant |
L |
11.603943984484 |
L(r)(E,1)/r! |
Ω |
1.1186725591422 |
Real period |
R |
1.7288264097266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15980b1 |
Quadratic twists by: -4 |