Atkin-Lehner |
2- 3- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434w |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
6572337408 = 28 · 38 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-590,-3747] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] |
Generators of the group modulo torsion |
j |
31107273625/9015552 |
j-invariant |
L |
8.28295068628 |
L(r)(E,1)/r! |
Ω |
0.99029025896555 |
Real period |
R |
1.0455205696888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478a1 |
Quadratic twists by: -3 |