Atkin-Lehner |
2+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150y |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-163856000000000 = -1 · 213 · 59 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75076,7935298] |
[a1,a2,a3,a4,a6] |
j |
-23960105966789/83894272 |
j-invariant |
L |
2.3066120482289 |
L(r)(E,1)/r! |
Ω |
0.57665302212771 |
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 |
73150bp1 |
Quadratic twists by: 5 |