Atkin-Lehner |
2- 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062l |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1411505667766812672 = -1 · 216 · 321 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 1 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141233,60737249] |
[a1,a2,a3,a4,a6] |
j |
-427367855725976521/1936221766483968 |
j-invariant |
L |
7.5082583097847 |
L(r)(E,1)/r! |
Ω |
0.23463307218041 |
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 |
12354f1 |
Quadratic twists by: -3 |