Atkin-Lehner |
2- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646bc |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-14756243474 = -1 · 2 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,391,5193] |
[a1,a2,a3,a4,a6] |
j |
56181887/125426 |
j-invariant |
L |
3.4680038203901 |
L(r)(E,1)/r! |
Ω |
0.86700095509939 |
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 |
7378l1 |
Quadratic twists by: -7 |