Atkin-Lehner |
2+ 3- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950v |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-138607200 = -1 · 25 · 35 · 52 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121,-772] |
[a1,a2,a3,a4,a6] |
j |
-7744084465/5544288 |
j-invariant |
L |
3.4923398066455 |
L(r)(E,1)/r! |
Ω |
0.6984678573776 |
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 |
106950ca1 |
Quadratic twists by: 5 |