Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15895g |
Isogeny class |
Conductor |
15895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-554398322623475 = -1 · 52 · 11 · 1710 |
Discriminant |
Eigenvalues |
2 1 5- 0 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27840,-2125919] |
[a1,a2,a3,a4,a6] |
Generators |
[27100263456791135380:1730492335827523425543:6636616825225024] |
Generators of the group modulo torsion |
j |
-1183744/275 |
j-invariant |
L |
11.618065990021 |
L(r)(E,1)/r! |
Ω |
0.18254964954165 |
Real period |
R |
31.821660625457 |
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 |
79475t1 15895c1 |
Quadratic twists by: 5 17 |