Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215cj |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-872352628875 = -1 · 33 · 53 · 76 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1699,-35395] |
[a1,a2,a3,a4,a6] |
j |
2097152/3375 |
j-invariant |
L |
2.810047147152 |
L(r)(E,1)/r! |
Ω |
0.46834117534543 |
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 |
2535d1 124215dd1 |
Quadratic twists by: -7 13 |