Atkin-Lehner |
2+ 3+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790d |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
842688 |
Modular degree for the optimal curve |
Δ |
-86824483082084250 = -1 · 2 · 39 · 53 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 3 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-436335,-111730609] |
[a1,a2,a3,a4,a6] |
Generators |
[83668:2478535:64] |
Generators of the group modulo torsion |
j |
-466759463127318243/4411140734750 |
j-invariant |
L |
4.8079524788057 |
L(r)(E,1)/r! |
Ω |
0.092826013581394 |
Real period |
R |
3.6996652530451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790br1 |
Quadratic twists by: -3 |