Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bj |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5510758400 = 215 · 52 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7425,243775] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:620:1] [18:341:1] |
Generators of the group modulo torsion |
j |
1381725080072/168175 |
j-invariant |
L |
7.56762499611 |
L(r)(E,1)/r! |
Ω |
1.3032505926603 |
Real period |
R |
2.9033652617501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440by2 34720b2 |
Quadratic twists by: -4 8 |