Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206a |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-33753724859506176 = -1 · 29 · 39 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171411,28752821] |
[a1,a2,a3,a4,a6] |
j |
-240525801459/14576128 |
j-invariant |
L |
1.451975472435 |
L(r)(E,1)/r! |
Ω |
0.36299387430637 |
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 |
73206bd1 10458b2 |
Quadratic twists by: -3 -7 |