Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630bf |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7728 |
Modular degree for the optimal curve |
Δ |
-11868120 = -1 · 23 · 36 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38,-179] |
[a1,a2,a3,a4,a6] |
j |
-8120601/16280 |
j-invariant |
L |
2.7155390243056 |
L(r)(E,1)/r! |
Ω |
0.90517967477028 |
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 |
4070c1 |
Quadratic twists by: -3 |