Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cd |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6261612961968 = -1 · 24 · 39 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,-114905] |
[a1,a2,a3,a4,a6] |
j |
702464/4563 |
j-invariant |
L |
1.5048585898178 |
L(r)(E,1)/r! |
Ω |
0.37621462316161 |
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 |
45864x1 30576bg1 1872f1 |
Quadratic twists by: -4 -3 -7 |