Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326q |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-191909872 = -1 · 24 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61,-696] |
[a1,a2,a3,a4,a6] |
Generators |
[22:82:1] |
Generators of the group modulo torsion |
j |
-71473375/559504 |
j-invariant |
L |
2.2037278272119 |
L(r)(E,1)/r! |
Ω |
0.75493018112597 |
Real period |
R |
0.7297786875884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18326t1 |
Quadratic twists by: -7 |