Atkin-Lehner |
5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10865c |
Isogeny class |
Conductor |
10865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
71980625 = 54 · 41 · 532 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2391,44800] |
[a1,a2,a3,a4,a6] |
Generators |
[19:70:1] |
Generators of the group modulo torsion |
j |
1511728472218609/71980625 |
j-invariant |
L |
1.7919470603577 |
L(r)(E,1)/r! |
Ω |
1.8320397865287 |
Real period |
R |
0.97811579941341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97785d1 54325c1 |
Quadratic twists by: -3 5 |