Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bc |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
26151835821890625 = 37 · 56 · 72 · 11 · 175 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8782740,-10016081325] |
[a1,a2,a3,a4,a6] |
Generators |
[77070:7114215:8] |
Generators of the group modulo torsion |
j |
102774717221250741791041/35873574515625 |
j-invariant |
L |
6.2011698048258 |
L(r)(E,1)/r! |
Ω |
0.087698477716373 |
Real period |
R |
3.5355059554079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635x1 |
Quadratic twists by: -3 |