Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225w |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-410916796875 = -1 · 37 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,30906] |
[a1,a2,a3,a4,a6] |
j |
-262144/36075 |
j-invariant |
L |
3.098436404309 |
L(r)(E,1)/r! |
Ω |
0.77460891469753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36075u1 21645k1 |
Quadratic twists by: -3 5 |