Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bn |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.791201670215E+30 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9338320627,-341316308948046] |
[a1,a2,a3,a4,a6] |
j |
21987209151523511892752120960841/437305095267337355464806400 |
j-invariant |
L |
2.7677686521344 |
L(r)(E,1)/r! |
Ω |
0.015376492235542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010k2 |
Quadratic twists by: -4 |