Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136bd |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
742481036549554176 = 226 · 37 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1502552,708199920] |
[a1,a2,a3,a4,a6] |
Generators |
[245119740:-456002560:328509] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
5.9917317912077 |
L(r)(E,1)/r! |
Ω |
0.28501936368399 |
Real period |
R |
10.511095967469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642s1 2064j1 |
Quadratic twists by: -4 -7 |