Atkin-Lehner |
3- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729o |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-4872080069703 = -1 · 36 · 7 · 112 · 534 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8268,-306181] |
[a1,a2,a3,a4,a6] |
Generators |
[128770:4050407:125] |
Generators of the group modulo torsion |
j |
-85748618900673/6683237407 |
j-invariant |
L |
4.4896216574555 |
L(r)(E,1)/r! |
Ω |
0.24921800294274 |
Real period |
R |
9.0074184136798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4081a1 |
Quadratic twists by: -3 |