Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cm |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-147763200 = -1 · 212 · 3 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,579] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:195:8] |
Generators of the group modulo torsion |
j |
-262144/36075 |
j-invariant |
L |
9.6695723501936 |
L(r)(E,1)/r! |
Ω |
1.5000237132237 |
Real period |
R |
3.223139831841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7215a1 |
Quadratic twists by: -4 |