Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440dn |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-41923215360000 = -1 · 218 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13932,-705456] |
[a1,a2,a3,a4,a6] |
j |
-57960603/8125 |
j-invariant |
L |
1.7441752116854 |
L(r)(E,1)/r! |
Ω |
0.2180219014637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440u1 9360x1 37440dc1 |
Quadratic twists by: -4 8 -3 |