Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520cj |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-54872000000000000 = -1 · 215 · 512 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 3 2 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32705,-11486975] |
[a1,a2,a3,a4,a6] |
Generators |
[735:19000:1] |
Generators of the group modulo torsion |
j |
-17213481368/244140625 |
j-invariant |
L |
7.3137471908867 |
L(r)(E,1)/r! |
Ω |
0.15136842138914 |
Real period |
R |
1.0066150654243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520ch1 57760h1 115520cg1 |
Quadratic twists by: -4 8 -19 |