Atkin-Lehner |
7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36421a |
Isogeny class |
Conductor |
36421 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3949440 |
Modular degree for the optimal curve |
Δ |
-1.2315483812556E+21 |
Discriminant |
Eigenvalues |
2 -1 -3 7+ 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32137882,-70134792443] |
[a1,a2,a3,a4,a6] |
Generators |
[173076901237113692:-23472810073322391597:8584902410176] |
Generators of the group modulo torsion |
j |
-1556830440478527488/522296735401 |
j-invariant |
L |
4.964435397753 |
L(r)(E,1)/r! |
Ω |
0.031703448513558 |
Real period |
R |
19.57372001515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36421e1 |
Quadratic twists by: -11 |