Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107508i |
Isogeny class |
Conductor |
107508 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
65794896 = 24 · 33 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4737,-127080] |
[a1,a2,a3,a4,a6] |
Generators |
[81:165:1] |
Generators of the group modulo torsion |
j |
149574926336/837 |
j-invariant |
L |
9.3273266013554 |
L(r)(E,1)/r! |
Ω |
0.57546142190068 |
Real period |
R |
3.6018734958591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107508f1 |
Quadratic twists by: 17 |