Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ct |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-693948399206400 = -1 · 214 · 33 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10760,1195988] |
[a1,a2,a3,a4,a6] |
j |
6967871/35100 |
j-invariant |
L |
4.394265749409 |
L(r)(E,1)/r! |
Ω |
0.36618881245025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070e1 121680dq1 3120v1 |
Quadratic twists by: -4 -3 13 |