Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bk |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30486937600 = -1 · 214 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,335,8175] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:80:1] [3:96:1] |
Generators of the group modulo torsion |
j |
253012016/1860775 |
j-invariant |
L |
7.5008117863776 |
L(r)(E,1)/r! |
Ω |
0.85549840130589 |
Real period |
R |
2.1919420816431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440dy2 8680d2 |
Quadratic twists by: -4 8 |