Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155l |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
161783881875 = 34 · 54 · 74 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-575018,167782133] |
[a1,a2,a3,a4,a6] |
j |
21026497979043461623321/161783881875 |
j-invariant |
L |
2.8244826582307 |
L(r)(E,1)/r! |
Ω |
0.70612066455767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480cf3 73920u4 3465l3 5775d3 |
Quadratic twists by: -4 8 -3 5 |