Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822m |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-805959936 = -1 · 28 · 33 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4055,-99718] |
[a1,a2,a3,a4,a6] |
Generators |
[87:412:1] |
Generators of the group modulo torsion |
j |
-1074685818907/117504 |
j-invariant |
L |
4.4086478380676 |
L(r)(E,1)/r! |
Ω |
0.29914505354437 |
Real period |
R |
1.2281243346198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466bd1 36822s1 |
Quadratic twists by: -3 -19 |