Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168bb |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-48298025025536 = -1 · 221 · 116 · 13 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-889632,-322674944] |
[a1,a2,a3,a4,a6] |
Generators |
[385170:20226602:125] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
2.5878453891144 |
L(r)(E,1)/r! |
Ω |
0.077726104679759 |
Real period |
R |
8.3236044047771 |
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 |
3146l3 100672dq3 208a3 |
Quadratic twists by: -4 8 -11 |