Atkin-Lehner |
2- 3+ 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
111504h |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
-229336075008 = -1 · 28 · 36 · 233 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1213,28609] |
[a1,a2,a3,a4,a6] |
j |
-771656704000/895844043 |
j-invariant |
L |
3.5985208191977 |
L(r)(E,1)/r! |
Ω |
0.8996302716979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27876a1 |
Quadratic twists by: -4 |