Atkin-Lehner |
3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40455h |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9652608 |
Modular degree for the optimal curve |
Δ |
3.1538029346466E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 4 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-116608683,484592794524] |
[a1,a2,a3,a4,a6] |
j |
240540857551240442697650176/43262042999267578125 |
j-invariant |
L |
0.454256145655 |
L(r)(E,1)/r! |
Ω |
0.11356403638468 |
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 |
13485i1 |
Quadratic twists by: -3 |