Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390z |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-652951950 = -1 · 2 · 3 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-1522] |
[a1,a2,a3,a4,a6] |
j |
-4826809/5550 |
j-invariant |
L |
1.2611314557267 |
L(r)(E,1)/r! |
Ω |
0.63056572806916 |
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 |
1110b1 |
Quadratic twists by: -7 |