Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326j |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
-1.7477051508412E+26 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11+ 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-888822671,10219345905901] |
[a1,a2,a3,a4,a6] |
Generators |
[-3330:3626881:1] |
Generators of the group modulo torsion |
j |
-660056090712855266747143737/1485524867054684667904 |
j-invariant |
L |
2.394478988295 |
L(r)(E,1)/r! |
Ω |
0.057226944523835 |
Real period |
R |
1.4943503875033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2618a1 |
Quadratic twists by: -7 |