Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632j |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
1209844657815552 = 220 · 39 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-529875,-148450158] |
[a1,a2,a3,a4,a6] |
j |
204076388671875/15006464 |
j-invariant |
L |
0.70781225149095 |
L(r)(E,1)/r! |
Ω |
0.17695307479634 |
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 |
14454a1 115632o1 |
Quadratic twists by: -4 -3 |