Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912f |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-19606911744 = -1 · 28 · 3 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 7 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11041,-442931] |
[a1,a2,a3,a4,a6] |
j |
-4942652416/651 |
j-invariant |
L |
0.46573697889492 |
L(r)(E,1)/r! |
Ω |
0.23286850064044 |
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 |
36456bb1 10416l1 |
Quadratic twists by: -4 -7 |