Atkin-Lehner |
2- 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
34164f |
Isogeny class |
Conductor |
34164 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
504221283072 = 28 · 37 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2991,52886] |
[a1,a2,a3,a4,a6] |
Generators |
[55:234:1] [-10:286:1] |
Generators of the group modulo torsion |
j |
15856431568/2701803 |
j-invariant |
L |
7.3987238719386 |
L(r)(E,1)/r! |
Ω |
0.88703168937389 |
Real period |
R |
1.3901652670306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11388b2 |
Quadratic twists by: -3 |