Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528r |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-166699008 = -1 · 213 · 32 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
-15625/40698 |
j-invariant |
L |
6.2392229544834 |
L(r)(E,1)/r! |
Ω |
1.4569779776428 |
Real period |
R |
0.53528802703252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566h1 |
Quadratic twists by: -4 |