Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cr |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
229975200 = 25 · 35 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-790,-8845] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:13:1] |
Generators of the group modulo torsion |
j |
322665579769/1360800 |
j-invariant |
L |
7.4072551367682 |
L(r)(E,1)/r! |
Ω |
0.90074136627112 |
Real period |
R |
0.8223509449147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470bj1 35490l1 |
Quadratic twists by: -3 13 |