Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560db |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-10463903744000 = -1 · 218 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4095,-119903] |
[a1,a2,a3,a4,a6] |
j |
28962726911/39916625 |
j-invariant |
L |
2.3050400652221 |
L(r)(E,1)/r! |
Ω |
0.3841733441989 |
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 |
42560bk1 10640i1 |
Quadratic twists by: -4 8 |