Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bs |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-64305838591875 = -1 · 37 · 54 · 196 |
Discriminant |
Eigenvalues |
2 3- 5- -3 -2 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27075,-1757619] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
1.1146257245464 |
L(r)(E,1)/r! |
Ω |
0.18577095328925 |
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 |
27075w1 81225bl2 225e1 |
Quadratic twists by: -3 5 -19 |