Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504o |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
585256402944 = 226 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2224,17344] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1364:1] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
4.0702627102578 |
L(r)(E,1)/r! |
Ω |
0.81765758486383 |
Real period |
R |
4.9779550579668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938h1 62016cm1 46512bk1 |
Quadratic twists by: -4 8 -3 |