Atkin-Lehner |
5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10865c |
Isogeny class |
Conductor |
10865 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-331597464025 = -1 · 52 · 412 · 534 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2266,49725] |
[a1,a2,a3,a4,a6] |
Generators |
[63:366:1] |
Generators of the group modulo torsion |
j |
-1286812903720609/331597464025 |
j-invariant |
L |
1.7919470603577 |
L(r)(E,1)/r! |
Ω |
0.91601989326436 |
Real period |
R |
0.48905789970671 |
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 |
97785d2 54325c2 |
Quadratic twists by: -3 5 |