Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346m |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7377773260662 = 2 · 312 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31582,-2158894] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:110:1] |
Generators of the group modulo torsion |
j |
29609739866953/62710038 |
j-invariant |
L |
4.3428093095939 |
L(r)(E,1)/r! |
Ω |
0.35817606094561 |
Real period |
R |
2.0207982344998 |
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 |
52038bq4 354d3 |
Quadratic twists by: -3 -7 |