Atkin-Lehner |
2+ 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282b |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
115248 |
Modular degree for the optimal curve |
Δ |
-512198939204813952 = -1 · 27 · 37 · 73 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-187070,46349556] |
[a1,a2,a3,a4,a6] |
j |
-724002020651148891625/512198939204813952 |
j-invariant |
L |
0.81143195351806 |
L(r)(E,1)/r! |
Ω |
0.27047731783935 |
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 |
74256cj1 27846bk1 64974ba1 120666be1 |
Quadratic twists by: -4 -3 -7 13 |