Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bx |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2377440559104 = -1 · 223 · 3 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -4 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150209,22457697] |
[a1,a2,a3,a4,a6] |
Generators |
[229:128:1] |
Generators of the group modulo torsion |
j |
-1429797541657393/9069216 |
j-invariant |
L |
6.5877358485185 |
L(r)(E,1)/r! |
Ω |
0.72853993719618 |
Real period |
R |
0.75353177012031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107328bj1 26832v1 |
Quadratic twists by: -4 8 |