Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984u |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
191589420103630848 = 236 · 33 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168795,16400906] |
[a1,a2,a3,a4,a6] |
j |
4809265283059875/1732398546944 |
j-invariant |
L |
1.7518291942431 |
L(r)(E,1)/r! |
Ω |
0.29197154749167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10998k1 87984o3 |
Quadratic twists by: -4 -3 |