Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490k |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
350452748067840 = 210 · 36 · 5 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-383334,91314616] |
[a1,a2,a3,a4,a6] |
Generators |
[1685:64197:1] |
Generators of the group modulo torsion |
j |
6229513141124471200729/350452748067840 |
j-invariant |
L |
4.7909443789273 |
L(r)(E,1)/r! |
Ω |
0.50976387357183 |
Real period |
R |
4.6991799804858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52470bh1 87450bs1 |
Quadratic twists by: -3 5 |