Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176w |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-37511828705650096 = -1 · 24 · 72 · 178 · 193 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192596,-33840865] |
[a1,a2,a3,a4,a6] |
j |
-49379367039838175232/2344489294103131 |
j-invariant |
L |
0.34090030579793 |
L(r)(E,1)/r! |
Ω |
0.11363343525807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9044a1 |
Quadratic twists by: -4 |