Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3720b |
Isogeny class |
Conductor |
3720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-16271280 = -1 · 24 · 38 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,180] |
[a1,a2,a3,a4,a6] |
j |
103737344/1016955 |
j-invariant |
L |
1.6164174874506 |
L(r)(E,1)/r! |
Ω |
1.6164174874506 |
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 |
7440h1 29760z1 11160m1 18600ba1 |
Quadratic twists by: -4 8 -3 5 |