Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bs |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-21782520000000000 = -1 · 212 · 38 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 5 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104180,-14736553] |
[a1,a2,a3,a4,a6] |
j |
-17564884225/3059712 |
j-invariant |
L |
6.3176696009114 |
L(r)(E,1)/r! |
Ω |
0.13161811668448 |
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 |
12450g1 37350w1 |
Quadratic twists by: -3 5 |