Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bp |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-406326375 = -1 · 36 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-305,-2400] |
[a1,a2,a3,a4,a6] |
j |
-73560059/9477 |
j-invariant |
L |
1.1337744726605 |
L(r)(E,1)/r! |
Ω |
0.56688723632437 |
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 |
47775dj1 47775di1 |
Quadratic twists by: 5 -7 |