Atkin-Lehner |
2+ 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670f |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14789790 = 2 · 34 · 5 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1008,-12392] |
[a1,a2,a3,a4,a6] |
Generators |
[38:48:1] |
Generators of the group modulo torsion |
j |
113106045269881/14789790 |
j-invariant |
L |
4.9725770673947 |
L(r)(E,1)/r! |
Ω |
0.84740193914253 |
Real period |
R |
2.9340132690907 |
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 |
53010bl2 88350bu2 |
Quadratic twists by: -3 5 |