Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73964c |
Isogeny class |
Conductor |
73964 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-57619220453337136 = -1 · 24 · 11 · 419 |
Discriminant |
Eigenvalues |
2- 2 -3 1 11+ -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1474797,-688966006] |
[a1,a2,a3,a4,a6] |
Generators |
[8870:827052:1] [42454610228110:2735383721798142:9407293631] |
Generators of the group modulo torsion |
j |
-4667642871808/758131 |
j-invariant |
L |
12.515989778747 |
L(r)(E,1)/r! |
Ω |
0.06849868609641 |
Real period |
R |
45.67967099811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1804a2 |
Quadratic twists by: 41 |