Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346h |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5796616896 = -1 · 26 · 32 · 72 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-284,3984] |
[a1,a2,a3,a4,a6] |
Generators |
[80:668:1] |
Generators of the group modulo torsion |
j |
-51984018457/118298304 |
j-invariant |
L |
2.4805217074027 |
L(r)(E,1)/r! |
Ω |
1.1963411389003 |
Real period |
R |
0.17278528302852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038bh2 17346j2 |
Quadratic twists by: -3 -7 |