Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550bh |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-233920000 = -1 · 29 · 54 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 3 1 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-205,1397] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:40:1] |
Generators of the group modulo torsion |
j |
-1517461425/374272 |
j-invariant |
L |
9.3008673018099 |
L(r)(E,1)/r! |
Ω |
1.679181386146 |
Real period |
R |
0.20514553673342 |
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 |
36550c1 |
Quadratic twists by: 5 |