Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21417a |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19126779955934211 = -1 · 34 · 117 · 594 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71876,9934335] |
[a1,a2,a3,a4,a6] |
j |
-23180817201697/10796568651 |
j-invariant |
L |
0.7213323838243 |
L(r)(E,1)/r! |
Ω |
0.36066619191216 |
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 |
64251z3 1947c4 |
Quadratic twists by: -3 -11 |