Atkin-Lehner |
3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69819c |
Isogeny class |
Conductor |
69819 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-465933912042074571 = -1 · 33 · 173 · 378 |
Discriminant |
Eigenvalues |
0 3- -3 2 3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,69363,32102885] |
[a1,a2,a3,a4,a6] |
j |
14384365568/181599219 |
j-invariant |
L |
1.3127007896419 |
L(r)(E,1)/r! |
Ω |
0.21878346561566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887c1 |
Quadratic twists by: 37 |