Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630y |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-120351528000 = -1 · 26 · 33 · 53 · 11 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1082,-21319] |
[a1,a2,a3,a4,a6] |
j |
-5184004633443/4457464000 |
j-invariant |
L |
4.8207143624084 |
L(r)(E,1)/r! |
Ω |
0.40172619686705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36630c2 |
Quadratic twists by: -3 |