Atkin-Lehner |
2- 5- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650t |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
912000 |
Modular degree for the optimal curve |
Δ |
-2415268986880000 = -1 · 225 · 54 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 2 5- 3 0 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-164513,25723231] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5088:1] |
Generators of the group modulo torsion |
j |
-787851789870990625/3864430379008 |
j-invariant |
L |
17.119857495392 |
L(r)(E,1)/r! |
Ω |
0.46124237583269 |
Real period |
R |
0.74233671278606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108650d1 |
Quadratic twists by: 5 |