Atkin-Lehner |
7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75383a |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-2244500611178441 = -1 · 76 · 118 · 89 |
Discriminant |
Eigenvalues |
1 -1 -3 7+ 11- 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13066,-2200271] |
[a1,a2,a3,a4,a6] |
j |
139233463487/1266962081 |
j-invariant |
L |
0.91342667446589 |
L(r)(E,1)/r! |
Ω |
0.22835666180154 |
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 |
6853h1 |
Quadratic twists by: -11 |