Atkin-Lehner |
2- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108224c |
Isogeny class |
Conductor |
108224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13120 |
Modular degree for the optimal curve |
Δ |
-9631936 = -1 · 26 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 0 1 -1 -5 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-138] |
[a1,a2,a3,a4,a6] |
j |
37933056/150499 |
j-invariant |
L |
2.3316270582038 |
L(r)(E,1)/r! |
Ω |
1.1658135522607 |
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 |
108224a1 27056b1 |
Quadratic twists by: -4 8 |