Atkin-Lehner |
3+ 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63189d |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-2349303831 = -1 · 39 · 7 · 172 · 59 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79,2296] |
[a1,a2,a3,a4,a6] |
Generators |
[14:70:1] |
Generators of the group modulo torsion |
j |
2803221/119357 |
j-invariant |
L |
3.6207661416227 |
L(r)(E,1)/r! |
Ω |
1.1018145350093 |
Real period |
R |
3.2861847677704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63189c1 |
Quadratic twists by: -3 |