Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362d |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-6639512 = -1 · 23 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 1 2 4 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30,108] |
[a1,a2,a3,a4,a6] |
j |
3773/8 |
j-invariant |
L |
3.2869349256088 |
L(r)(E,1)/r! |
Ω |
1.6434674398617 |
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 |
87362y1 87362ba1 |
Quadratic twists by: -11 -19 |