Atkin-Lehner |
3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005o |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
9632483455078125 = 310 · 59 · 174 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2146692,1210596507] |
[a1,a2,a3,a4,a6] |
j |
17968412610002944/158203125 |
j-invariant |
L |
2.2091525069646 |
L(r)(E,1)/r! |
Ω |
0.36819208449409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4335e2 65025bx2 13005g2 |
Quadratic twists by: -3 5 17 |