Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219i |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4558720 |
Modular degree for the optimal curve |
Δ |
-105634641335109187 = -1 · 75 · 179 · 53 |
Discriminant |
Eigenvalues |
0 2 2 7- -4 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41586907,-103210701316] |
[a1,a2,a3,a4,a6] |
Generators |
[7489620633859016940:352955566259328437023:878804982861625] |
Generators of the group modulo torsion |
j |
-67073859022782464/890771 |
j-invariant |
L |
9.6170074920394 |
L(r)(E,1)/r! |
Ω |
0.029725584466373 |
Real period |
R |
32.352627087681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107219e1 |
Quadratic twists by: 17 |