Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25740h |
Isogeny class |
Conductor |
25740 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-563767776000 = -1 · 28 · 36 · 53 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16032,-782156] |
[a1,a2,a3,a4,a6] |
j |
-2441851961344/3020875 |
j-invariant |
L |
3.8182373949289 |
L(r)(E,1)/r! |
Ω |
0.21212429971828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960ee1 2860a1 128700u1 |
Quadratic twists by: -4 -3 5 |