Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490i |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13967514000 = 24 · 32 · 53 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1404,19306] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:207:1] |
Generators of the group modulo torsion |
j |
305759741604409/13967514000 |
j-invariant |
L |
4.2639894743903 |
L(r)(E,1)/r! |
Ω |
1.2397905655106 |
Real period |
R |
0.85982051989447 |
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 |
52470bf1 87450bq1 |
Quadratic twists by: -3 5 |