Atkin-Lehner |
2- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040s |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-205680640 = -1 · 212 · 5 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80,660] |
[a1,a2,a3,a4,a6] |
j |
13651919/50215 |
j-invariant |
L |
2.532601337414 |
L(r)(E,1)/r! |
Ω |
1.266300664951 |
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 |
4565b1 |
Quadratic twists by: -4 |