Atkin-Lehner |
5+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15785a |
Isogeny class |
Conductor |
15785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-306656882021875 = -1 · 55 · 7 · 112 · 415 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-84931,-9535738] |
[a1,a2,a3,a4,a6] |
Generators |
[40094289696:673035596461:81182737] |
Generators of the group modulo torsion |
j |
-67752845331653361664/306656882021875 |
j-invariant |
L |
5.2105402151205 |
L(r)(E,1)/r! |
Ω |
0.13979285353232 |
Real period |
R |
18.636647308712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925e1 110495d1 |
Quadratic twists by: 5 -7 |