Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
111622f |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-223244 = -1 · 22 · 72 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -4 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221,1177] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-5:1] |
Generators of the group modulo torsion |
j |
-24534169513/4556 |
j-invariant |
L |
3.3279376504949 |
L(r)(E,1)/r! |
Ω |
3.0526180020185 |
Real period |
R |
0.54509566512157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999103054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111622a1 |
Quadratic twists by: -7 |