Atkin-Lehner |
3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26505b |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-717622875 = -1 · 33 · 53 · 193 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,138,-1128] |
[a1,a2,a3,a4,a6] |
j |
10764582912/26578625 |
j-invariant |
L |
1.6582000457377 |
L(r)(E,1)/r! |
Ω |
0.82910002286885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26505a2 |
Quadratic twists by: -3 |