Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144cl |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1106188959744 = -1 · 225 · 34 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 11- 4 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2431,20001] |
[a1,a2,a3,a4,a6] |
j |
6058428767/4219776 |
j-invariant |
L |
4.4058215873839 |
L(r)(E,1)/r! |
Ω |
0.55072769410994 |
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 |
78144bh1 19536ba1 |
Quadratic twists by: -4 8 |