Atkin-Lehner |
2- 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660w |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
-4527281043198000 = -1 · 24 · 315 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 3 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14028,3173461] |
[a1,a2,a3,a4,a6] |
j |
26173600710656/388141378875 |
j-invariant |
L |
5.8168149810457 |
L(r)(E,1)/r! |
Ω |
0.32315639060183 |
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 |
26220h1 |
Quadratic twists by: -3 |