Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cz |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-223587000 = -1 · 23 · 33 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,94,636] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:22:1] |
Generators of the group modulo torsion |
j |
543164999/1323000 |
j-invariant |
L |
9.7998683668282 |
L(r)(E,1)/r! |
Ω |
1.2346458452199 |
Real period |
R |
0.44096623626792 |
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 |
106470ck1 35490bu1 |
Quadratic twists by: -3 13 |