Atkin-Lehner |
3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3885d |
Isogeny class |
Conductor |
3885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-30594375 = -1 · 33 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37,-296] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/30594375 |
j-invariant |
L |
1.7374930711502 |
L(r)(E,1)/r! |
Ω |
0.86874653557509 |
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 |
62160da1 11655c1 19425w1 27195m1 |
Quadratic twists by: -4 -3 5 -7 |