Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15950k |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
361920 |
Modular degree for the optimal curve |
Δ |
-8362393600000000000 = -1 · 229 · 511 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-785313,-302167969] |
[a1,a2,a3,a4,a6] |
j |
-3427931074939043401/535193190400000 |
j-invariant |
L |
4.6112610627716 |
L(r)(E,1)/r! |
Ω |
0.079504501082269 |
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 |
127600ba1 3190b1 |
Quadratic twists by: -4 5 |