Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650bx |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6690816 |
Modular degree for the optimal curve |
Δ |
2.881697015808E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21626588,-38718769219] |
[a1,a2,a3,a4,a6] |
j |
71592529574416853286649/1844286090117120 |
j-invariant |
L |
1.2601600571493 |
L(r)(E,1)/r! |
Ω |
0.070008895199747 |
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 |
18330l1 |
Quadratic twists by: 5 |