Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352s |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-994085604965376 = -1 · 210 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59772,-5825608] |
[a1,a2,a3,a4,a6] |
j |
-31636584484096/1331669031 |
j-invariant |
L |
0.30458350326709 |
L(r)(E,1)/r! |
Ω |
0.15229175161298 |
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 |
44352et1 5544q1 14784g1 |
Quadratic twists by: -4 8 -3 |