Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136cb |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-56144399368716288 = -1 · 223 · 33 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95240,1439444] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:37632:1] |
Generators of the group modulo torsion |
j |
4046066759/2377728 |
j-invariant |
L |
4.0112247407764 |
L(r)(E,1)/r! |
Ω |
0.2143032929126 |
Real period |
R |
0.51993092327108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642b1 101136bi1 |
Quadratic twists by: -4 -7 |