Atkin-Lehner |
5- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120575i |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2367360 |
Modular degree for the optimal curve |
Δ |
-1.1549098327111E+19 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -3 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1320718,-606761823] |
[a1,a2,a3,a4,a6] |
j |
-2038186920264323387957/92392786616884481 |
j-invariant |
L |
0.28091709145275 |
L(r)(E,1)/r! |
Ω |
0.070229296734786 |
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 |
120575k1 |
Quadratic twists by: 5 |