Atkin-Lehner |
3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
106425ba |
Isogeny class |
Conductor |
106425 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-30275148110625 = -1 · 39 · 54 · 113 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 11- -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5405,-304378] |
[a1,a2,a3,a4,a6] |
Generators |
[1599:63055:1] [180:-2219:1] |
Generators of the group modulo torsion |
j |
-38320214425/66447513 |
j-invariant |
L |
7.3366460552966 |
L(r)(E,1)/r! |
Ω |
0.26296717199543 |
Real period |
R |
0.3874927091495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35475j1 106425p1 |
Quadratic twists by: -3 5 |