Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bh |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
626075850375202500 = 22 · 32 · 54 · 78 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20288454,-35175651548] |
[a1,a2,a3,a4,a6] |
Generators |
[-2602:1377:1] |
Generators of the group modulo torsion |
j |
191342053882402567201/129708022500 |
j-invariant |
L |
5.1458430460964 |
L(r)(E,1)/r! |
Ω |
0.071135655246472 |
Real period |
R |
4.5211531301251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470gc6 210e5 |
Quadratic twists by: -3 13 |