Atkin-Lehner |
2- 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170m |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-3883520 = -1 · 29 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -2 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
-1/3883520 |
j-invariant |
L |
6.3788538777585 |
L(r)(E,1)/r! |
Ω |
1.1372133748747 |
Real period |
R |
0.62324411375414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121360bb1 75850b1 |
Quadratic twists by: -4 5 |