Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490dj |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
697591440 = 24 · 34 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-231,441] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:45:1] |
Generators of the group modulo torsion |
j |
620650477/317520 |
j-invariant |
L |
10.101851395016 |
L(r)(E,1)/r! |
Ω |
1.419758394651 |
Real period |
R |
0.44469940418538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470dd1 35490bt1 |
Quadratic twists by: -3 13 |