Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106580b |
Isogeny class |
Conductor |
106580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-34105600 = -1 · 28 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73,-146] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
31536/25 |
j-invariant |
L |
3.880993525411 |
L(r)(E,1)/r! |
Ω |
1.1502429679072 |
Real period |
R |
0.56234402274375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999463464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106580a1 |
Quadratic twists by: 73 |