Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280ev |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-11619182395699200 = -1 · 212 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32928,-4648336] |
[a1,a2,a3,a4,a6] |
j |
229376/675 |
j-invariant |
L |
1.6510638740914 |
L(r)(E,1)/r! |
Ω |
0.20638298426202 |
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 |
2205i1 11760bk1 35280dw1 |
Quadratic twists by: -4 -3 -7 |