Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504l |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2286157824 = -1 · 218 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -6 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96,-2304] |
[a1,a2,a3,a4,a6] |
j |
23639903/558144 |
j-invariant |
L |
1.4126980876884 |
L(r)(E,1)/r! |
Ω |
0.70634904384421 |
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 |
1938i1 62016co1 46512be1 |
Quadratic twists by: -4 8 -3 |