Atkin-Lehner |
2- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842t |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
1618400 |
Modular degree for the optimal curve |
Δ |
-167812648961441792 = -1 · 217 · 75 · 116 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2730307,-1737711711] |
[a1,a2,a3,a4,a6] |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
4.9915298166085 |
L(r)(E,1)/r! |
Ω |
0.058723880328455 |
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 |
602b1 |
Quadratic twists by: -11 |