Atkin-Lehner |
3- 5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415o |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1087576875 = -1 · 36 · 54 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-588] |
[a1,a2,a3,a4,a6] |
j |
2294744759/1491875 |
j-invariant |
L |
1.7719390784579 |
L(r)(E,1)/r! |
Ω |
0.88596964335547 |
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 |
11935d1 |
Quadratic twists by: -3 |