Atkin-Lehner |
2+ 5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710b |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9330708231792640 = -1 · 211 · 5 · 76 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,34727,-3909147] |
[a1,a2,a3,a4,a6] |
j |
4631332616176494311/9330708231792640 |
j-invariant |
L |
2.5643421072647 |
L(r)(E,1)/r! |
Ω |
0.21369517560539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550bn2 123970q2 |
Quadratic twists by: 5 -7 |